text
stringlengths
49
983k
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000005; const int N = 26; long long f[MAXN], g[MAXN]; const long long mod = 1e9 + 7; struct Palindromic_Tree { int next[MAXN][N]; int fail[MAXN]; int cnt[MAXN]; int num[MAXN]; int len[MAXN]; int S[MAXN]; int last; int n; int p; int delta[MAXN], start[MAXN]; int newnode(int l) { for (int i = 0; i < N; ++i) next[p][i] = 0; cnt[p] = 0; num[p] = 0; len[p] = l; return p++; } void init() { p = 0; newnode(0); newnode(-1); last = 0; n = 0; S[n] = -1; fail[0] = 1; } int get_fail(int x) { while (S[n - len[x] - 1] != S[n]) x = fail[x]; return x; } void add(int i, int c) { c -= 'a'; S[++n] = c; int cur = get_fail(last); if (!next[cur][c]) { int now = newnode(len[cur] + 2); fail[now] = next[get_fail(fail[cur])][c]; next[cur][c] = now; num[now] = num[fail[now]] + 1; delta[now] = len[now] - len[fail[now]]; if (delta[now] == delta[fail[now]]) start[now] = start[fail[now]]; else start[now] = now; } last = next[cur][c]; for (int j = last; j >= 1; j = fail[start[j]]) { g[j] = f[i - len[start[j]]]; if (start[j] != j) g[j] = (g[j] + g[fail[j]]) % mod; if (i % 2 == 0) f[i] = (f[i] + g[j]) % mod; } cnt[last]++; } void count() { for (int i = p - 1; i >= 0; --i) cnt[fail[i]] += cnt[i]; } } P; char s[MAXN], str[MAXN]; int main() { scanf("%s", str); int n = strlen(str); int num = 0; for (int i = 1; i <= n; i += 2) s[i] = str[num++]; num = n - 1; for (int i = 2; i <= n; i += 2) s[i] = str[num--]; f[0] = 1; P.init(); for (int i = 1; i <= n; i++) { P.add(i, s[i]); } printf("%lld", f[n]); }
#include <bits/stdc++.h> const int N = 1e6; const int mod = 1e9 + 7; using namespace std; int n; char s[N + 5], ns[N + 5]; struct PAM { int ch[N + 5][26], fail[N + 5], len[N + 5], nc, las, f[N + 5], sf[N + 5], d[N + 5], pos[N + 5]; char s[N + 5]; void init(char *ch) { for (int i = 1; i <= n; i++) s[i] = ch[i]; s[0] = '#'; len[1] = -1; pos[0] = 1; fail[0] = 1; f[0] = 1; nc = 1; } void insert(int x) { int p = las; while (s[x - len[p] - 1] != s[x]) p = fail[p]; if (!ch[p][s[x] - 'a']) { len[++nc] = len[p] + 2; int j = fail[p]; while (s[x - len[j] - 1] != s[x]) j = fail[j]; fail[nc] = ch[j][s[x] - 'a']; d[nc] = len[nc] - len[fail[nc]]; if (d[nc] == d[fail[nc]]) pos[nc] = pos[fail[nc]]; else pos[nc] = fail[nc]; ch[p][s[x] - 'a'] = nc; } las = ch[p][s[x] - 'a']; int j = las; while (j > 1) { sf[j] = f[x - len[pos[j]] - d[j]]; if (pos[j] != fail[j]) sf[j] += sf[fail[j]], sf[j] %= mod; if (x % 2 == 0) f[x] += sf[j], f[x] %= mod; j = pos[j]; } } void build() { for (int i = 1; i <= n; i++) insert(i); } } pa; int main() { scanf("%s", s + 1); n = strlen(s + 1); int l = 1, r = n; for (int i = 1; i <= n; i++) if (i % 2 == 1) ns[i] = s[l++]; else ns[i] = s[r--]; pa.init(ns); pa.build(); cout << pa.f[n] << endl; return 0; }
#include <bits/stdc++.h> inline long long gi() { long long x = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) f ^= ch == '-', ch = getchar(); while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); return f ? x : -x; } char _s[1000010], s[1000010]; int n; int ch[1000010][26], dif[1000010], anc[1000010], fail[1000010], len[1000010], cnt, f[1000010], g[1000010], lst; inline int newnode(int Len) { ++cnt, len[cnt] = Len; return cnt; } inline void extend(int c, int n) { int p = lst, q = ch[p][c]; while (s[n - len[p] - 1] != s[n]) p = fail[p]; if (!ch[p][c]) { int np = newnode(len[p] + 2); q = fail[p]; while (s[n - len[q] - 1] != s[n]) q = fail[q]; fail[np] = ch[q][c]; ch[p][c] = np; dif[np] = len[np] - len[fail[np]]; anc[np] = dif[np] == dif[fail[np]] ? anc[fail[np]] : fail[np]; } lst = ch[p][c]; } int main() { scanf("%s", _s + 1); n = strlen(_s + 1); for (int l = 1, r = n, p = 1; l <= r; ++l, --r) s[p++] = _s[l], s[p++] = _s[r]; cnt = lst = 1; len[0] = 0, len[1] = -1; fail[0] = fail[1] = 1; f[0] = 1; for (int i = 1; i <= n; ++i) { extend(s[i] - 'a', i); for (int j = lst; j; j = anc[j]) { g[j] = f[i - len[anc[j]] - dif[j]]; if (anc[j] ^ fail[j]) g[j] = (g[j] + g[fail[j]]) % 1000000007; if (~i & 1) f[i] = (f[i] + g[j]) % 1000000007; } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = (int)1e6 + 1, maxl = 25, mod = (int)1e9 + 7; int n, m, sta[maxl], dif[maxl], cnt[maxl], f[maxn], g[maxn]; char buf[maxn], str[maxn]; inline void mod_inc(int &x, int y) { (x += y) >= mod && (x -= mod); } int main() { scanf("%s", buf + 1); n = strlen(buf + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i <= n >> 1; ++i) { str[(i << 1) - 1] = buf[i]; str[i << 1] = buf[n - i + 1]; } f[0] = 1; for (int i = 1; i <= n; ++i) { int tp = m, las = -maxn; static int tsta[maxl], tdif[maxl], tcnt[maxl]; m = 0; memcpy(tsta + 1, sta + 1, tp * sizeof(int)); memcpy(tdif + 1, dif + 1, tp * sizeof(int)); memcpy(tcnt + 1, cnt + 1, tp * sizeof(int)); for (int j = 1; j <= tp; ++j) { if (str[tsta[j]] == str[i]) { if (m && dif[m] == tsta[j] - 1 - las) { ++cnt[m]; } else { sta[++m] = tsta[j] - 1; dif[m] = sta[m] - las; cnt[m] = 1; } las = tsta[j] - 1; } if (tcnt[j] > 1 && str[tsta[j] + tdif[j]] == str[i]) { if (m && dif[m] == tsta[j] + tdif[j] - 1 - las) { cnt[m] += tcnt[j] - 1; } else { sta[++m] = tsta[j] + tdif[j] - 1; dif[m] = sta[m] - las; cnt[m] = tcnt[j] - 1; } las = tsta[j] + tdif[j] * (tcnt[j] - 1) - 1; } } if (str[i - 1] == str[i]) { if (m && i - 2 - las == dif[m]) { ++cnt[m]; } else { sta[++m] = i - 2; dif[m] = sta[m] - las; cnt[m] = 1; } las = i - 2; } for (int j = 1; j <= m; ++j) { int tsta = sta[j], tdif = dif[j], tcnt = cnt[j], tend = tsta + (tcnt - 1) * tdif; g[tend] = f[tend]; if (tcnt > 1) mod_inc(g[tend], g[tend - tdif]); mod_inc(f[i], g[tend]); } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; int n; char s[1000000 + 5], t[1000000 + 5]; struct PAM { struct node { int ch[26]; int len; int fail; int d; int top; } t[1000000 * 2 + 5]; int ptr, last; char *str; void ini(char *in) { str = in; ptr = 1; t[0].len = 0; t[0].fail = 1; t[1].len = -1; t[1].fail = 0; last = 0; } int get_fail(int x, int n) { while (str[n - t[x].len - 1] != str[n]) x = t[x].fail; return x; } void insert(int c, int pos) { int p = get_fail(last, pos); if (!t[p].ch[c]) { int cur = ++ptr; (t[cur].len) = (t[p].len) + 2; (t[cur].fail) = t[get_fail((t[p].fail), pos)].ch[c]; t[cur].d = t[cur].len - t[(t[cur].fail)].len; if (t[cur].d == t[(t[cur].fail)].d) t[cur].top = t[(t[cur].fail)].top; else t[cur].top = (t[cur].fail); t[p].ch[c] = cur; } last = t[p].ch[c]; } long long sum[1000000 + 5]; long long dp[1000000 + 5]; void solve() { dp[0] = 1; for (int i = 1; i <= n; i++) { insert(str[i] - 'a', i); for (int j = last; j > 1; j = t[j].top) { sum[j] = dp[i - (t[t[j].top].len) - t[j].d]; if (t[j].d == t[(t[j].fail)].d) sum[j] = (sum[j] + sum[(t[j].fail)]) % 1000000007; if (i % 2 == 0) dp[i] = (dp[i] + sum[j]) % 1000000007; } } printf("%lld\n", dp[n]); } } T; int main() { scanf("%s", s + 1); n = strlen(s + 1); for (int i = 1; i <= n / 2; i++) { t[2 * i - 1] = s[i]; t[2 * i] = s[n + 1 - i]; } T.ini(t); T.solve(); }
#include <bits/stdc++.h> using namespace std; using ll = long long; using vi = vector<int>; using vll = vector<ll>; using pii = pair<int, int>; using vvi = vector<vi>; using vii = vector<pii>; string s; bool read() { if (!(cin >> s)) { return 0; } return 1; } const int mod = (int)1e9 + 7; void add(int &a, int b) { a += b; if (a >= mod) a -= mod; } void sub(int &a, int b) { a -= b; if (a < 0) a += mod; } void kill(vi &v) { v.clear(); v.shrink_to_fit(); } struct gap_jumper { string s; vi value; int n; gap_jumper(string s_, int n_) { n = n_; value.resize(n + 1); s = s_; assert(int((s).size()) == 2 * n); } vi d_was; vvi next_, prev_, sum_; int get_id(int step) { int pos = find((d_was).begin(), (d_was).end(), step) - d_was.begin(); if (pos != int((d_was).size())) return pos; d_was.push_back(step); next_.push_back(vi(2 * n)), prev_.push_back(vi(2 * n)), sum_.push_back(vi()); sum_.back().reserve(n); vi &next = next_.back(); vi &prev = prev_.back(); for (int i = int(2 * n) - 1; i >= 0; --i) { if (i + step >= 2 * n) next[i] = 1; else next[i] = (s[i] != s[i + step] ? 1 : next[i + step] + 1); } for (int i = 0; i < int(2 * n); ++i) { if (i < step) prev[i] = 1; else prev[i] = (s[i] != s[i - step] ? 1 : prev[i - step] + 1); } return pos; } int first_left(int pos, int step, char what) { const int id = get_id(step); const vi &prev = prev_[id]; if (what != s[pos]) return 0; return prev[pos]; } int first_right(int pos, int step, char what) { const int id = get_id(step); const vi &next = next_[id]; if (what != s[pos]) return 0; return next[pos]; } int sum(int pos, int step, int len) { const int id = get_id(step); vi &sum = sum_[id]; int to = pos + step * (len - 1); assert(0 <= pos && pos <= to && to < int((value).size())); while (int((sum).size()) <= to) { const int cur_id = int((sum).size()); sum.push_back(value[cur_id]); if (cur_id >= step) add(sum.back(), sum[cur_id - step]); } int res = sum[to]; if (pos - step >= 0) sub(res, sum[pos - step]); return res; } }; struct prog { int start, diff, len; int get(int id) const { return start + diff * id; } int get_end() const { return start + diff * (len - 1); } }; void relax(vector<prog> &v) { vector<prog> nv; for (const auto &pr : v) { if (pr.len == 0) continue; if (nv.empty()) nv.push_back(pr); else { auto &top = nv.back(); if (top.len == 1 && pr.len == 1) top = prog{top.start, pr.start - top.start, 2}; else if (top.len == 1 && pr.start - top.start == pr.diff) { top = prog{top.start, pr.diff, pr.len + 1}; } else if (pr.len == 1 && pr.start - top.get_end() == top.diff) { top.len++; } else if (pr.diff == top.diff && pr.start - top.get_end() == top.diff) { top.len += pr.len; } else { nv.push_back(pr); } } } v.swap(nv); } void incr_all(vector<prog> &v, int delta) { for (auto &pr : v) pr.start += delta; } void add_start(vector<prog> &v, int num) { assert(v.empty() || num < v.front().start); v.insert(v.begin(), prog{num, 1, 1}); } void del(vector<prog> &v, const vi &who) { int ptr = 0; vector<prog> nv; for (const auto &pr : v) { int last_alive = 0; while (ptr < int((who).size()) && pr.start <= who[ptr] && who[ptr] <= pr.get_end()) { assert((who[ptr] - pr.start) % pr.diff == 0); int cur_id = (who[ptr] - pr.start) / pr.diff; if (last_alive < cur_id) nv.push_back(prog{pr.get(last_alive), pr.diff, cur_id - last_alive}); assert(last_alive <= cur_id); last_alive = cur_id + 1; ptr++; } const int total = pr.len; if (last_alive < total) nv.push_back(prog{pr.get(last_alive), pr.diff, total - last_alive}); } v.swap(nv); relax(v); } void print(const vector<prog> &v) { for (const auto &pr : v) { for (int i = 0; i < int(pr.len); ++i) ; ; }; ; } double time() { return (double)clock() / CLOCKS_PER_SEC; } int work_old() { const int n = int((s).size()) / 2; assert(int((s).size()) == 2 * n); vi dp(n + 1); dp[0] = 1; vi pref; for (int len = 0; len < int(n + 1); ++len) if (len) { if (int((pref).size()) >= 50) return -1; const int l = n - len, r = n + len; vi npref; for (int i : pref) { if (s[l] == s[r - i - 2] && s[l + i + 1] == s[r - 1] && i + 2 <= len) npref.push_back(i + 2); } if (s[l] == s[r - 1]) npref.push_back(1); if (len >= 2 && s[l] == s[r - 2] && s[l + 1] == s[r - 1]) npref.push_back(2); pref = npref; for (int i : pref) add(dp[len], dp[len - i]); } return dp[n]; } void solve() { const int n = int((s).size()) / 2; assert(int((s).size()) == 2 * n); int ans = work_old(); if (ans != -1) { cout << ans << endl; return; } gap_jumper info(s, n); vi dp(n + 1); dp[0] = 1; info.value[0] = 1; vector<prog> pref; for (int len = 0; len < int(n + 1); ++len) if (len) { const int l = n - len, r = n + len; vi to_del; for (const auto &pr : pref) { for (int i = 0; i < pr.len;) { int cur = pr.get(i); const int left_steps = info.first_left(r - cur - 2, pr.diff, s[l]); const int right_steps = info.first_right(l + cur + 1, pr.diff, s[r - 1]); const int steps = min(left_steps, right_steps); i += steps; if (i >= pr.len) break; cur = pr.get(i); assert(!(s[l] == s[r - cur - 2] && s[l + cur + 1] == s[r - 1])); to_del.push_back(cur); i++; } } if (!pref.empty() && pref.back().get_end() == len - 1 && !count((to_del).begin(), (to_del).end(), len - 1)) to_del.push_back(len - 1); del(pref, to_del); incr_all(pref, 2); if (len >= 2 && s[l] == s[r - 2] && s[l + 1] == s[r - 1]) add_start(pref, 2); if (s[l] == s[r - 1]) add_start(pref, 1); relax(pref); assert(int((pref).size()) <= 20); for (const auto &pr : pref) { int start = len - pr.get_end(); int cur_sum = info.sum(start, pr.diff, pr.len); add(dp[len], cur_sum); } vi allowed; for (const auto &pr : pref) allowed.push_back(pr.diff); sort((allowed).begin(), (allowed).end()); allowed.resize(unique((allowed).begin(), (allowed).end()) - allowed.begin()); info.value[len] = dp[len]; } cout << dp[n] << endl; } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); while (read()) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = 1e6 + 5, SIG = 26; int str[MX], len[MX], link[MX], to[MX][SIG], slink[MX], dif[MX]; int cur, sl, sz; void init() { memset(to, 0, sizeof(to)); cur = sl = 0; str[sl++] = -1; link[0] = 1, len[0] = 0; link[1] = 0, len[1] = -1; sz = 2; } int getLink(int v) { while (str[sl - len[v] - 2] != str[sl - 1]) v = link[v]; return v; } void insert(int c) { str[sl++] = c; cur = getLink(cur); if (!to[cur][c]) { len[sz] = len[cur] + 2; link[sz] = to[getLink(link[cur])][c]; dif[sz] = len[sz] - len[link[sz]]; if (dif[sz] == dif[link[sz]]) slink[sz] = slink[link[sz]]; else slink[sz] = link[sz]; to[cur][c] = sz++; } cur = to[cur][c]; } const int mod = 1e9 + 7; string s, in; int dp[MX], acu[MX]; void sum(int &a, int b) { a += b; if (a >= mod) a -= mod; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> in; for (int i = 0; s.size() < in.size(); i++) s.push_back(in[i]), s.push_back(in[in.size() - i - 1]); init(); dp[0] = 1; for (int i = 1; i <= s.size(); i++) { insert(s[i - 1] - 'a'); for (int j = cur; j > 1; j = slink[j]) { acu[j] = dp[i - len[slink[j]] - dif[j]]; if (dif[j] == dif[link[j]]) sum(acu[j], acu[link[j]]); sum(dp[i], acu[j]); } if (i % 2) dp[i] = 0; } cout << dp[s.size()] << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = (int)1e6 + 1, maxc = 26, mod = (int)1e9 + 7; int len[maxn], link[maxn], to[maxn][maxc + 1]; int slink[maxn], diff[maxn], f[maxn], g[maxn]; int sz, last, n; char buf[maxn], s[maxn]; inline int get_link(int v) { for (; s[n - len[v] - 2] != s[n - 1]; v = link[v]) ; return v; } void add_letter(char c) { s[n++] = c -= 'a'; last = get_link(last); if (!to[last][(int)c]) { len[sz] = len[last] + 2; link[sz] = to[get_link(link[last])][c]; diff[sz] = len[sz] - len[link[sz]]; if (diff[sz] == diff[link[sz]]) slink[sz] = slink[link[sz]]; else slink[sz] = link[sz]; to[last][c] = sz++; } last = to[last][c]; } inline void mod_inc(int &x, int y) { (x += y) >= mod && (x -= mod); } int main() { scanf("%s", s); int n = strlen(s); if (n & 1) { puts("0"); return 0; } for (int i = 0; i < n >> 1; ++i) buf[i << 1] = s[i]; for (int i = 0; i < n >> 1; ++i) buf[i << 1 | 1] = s[n - 1 - i]; s[::n++] = -1; link[0] = 1; len[1] = -1; sz = 2; f[0] = 1; for (int i = 1; i <= n; i++) { add_letter(buf[i - 1]); for (int v = last; len[v] > 0; v = slink[v]) { g[v] = f[i - (len[slink[v]] + diff[v])]; if (diff[v] == diff[link[v]]) mod_inc(g[v], g[link[v]]); if (!(i & 1)) mod_inc(f[i], g[v]); } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> const int N = 1000054, mod = 1000000007; int n; int f[N], F[N]; char s[N], t[N], *ptr; inline void add(int &x, const int y) { x += y - mod, x += x >> 31 & mod; } namespace PAM { int p, cnt; int d[N][26], fail[N], val[N]; int per[N], fst[N]; void init() { val[1] = -1, p = 0, *fail = cnt = 1; } int get_fail(int x) { for (; ptr[~val[x]] != *ptr; x = fail[x]) ; return x; } int extend(int x) { int &q = d[p = get_fail(p)][x]; if (!q) fail[++cnt] = d[get_fail(fail[p])][x], val[q = cnt] = val[p] + 2, per[cnt] = val[cnt] - val[fail[cnt]], fst[cnt] = (per[cnt] == per[fail[cnt]] ? fst[fail[cnt]] : fail[cnt]); return p = q; } } // namespace PAM int main() { int i, j, p = 0, l; scanf("%s", t), n = strlen(t); if (n & 1) return putchar(48), putchar(10), 0; for (i = 0, j = n - 1; i < j; s[p++] = t[i++], s[p++] = t[j--]) ; PAM::init(); for (*f = i = 1, ptr = s; i <= n; ++i, ++ptr) for (p = PAM::extend(*ptr - 97); p; p = j) { j = PAM::fst[p], l = PAM::val[j] + PAM::per[p], F[p] = f[i - l]; if (PAM::val[p] != l) add(F[p], F[PAM::fail[p]]); if (!(i & 1)) add(f[i], F[p]); } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 9; const int mod = 1e9 + 7; int ans[N], series_ans[N]; struct PalindromicTree { struct node { int nxt[26], len, st, en, suflink, diff, slink; int cnt; int oc; }; string s; vector<node> t; int sz, suf; void init(int len) { t.clear(); t.resize(len + 9); sz = 2, suf = 2; t[1].len = -1, t[1].suflink = 1; t[2].len = 0, t[2].suflink = 1; t[1].diff = t[2].diff = 0; t[1].slink = 1; t[2].slink = 2; } int add_letter(int pos) { int cur = suf, curlen = 0; int ch = s[pos] - 'a'; while (1) { curlen = t[cur].len; if (pos - 1 - curlen >= 0 && s[pos - 1 - curlen] == s[pos]) break; cur = t[cur].suflink; } if (t[cur].nxt[ch]) { suf = t[cur].nxt[ch]; t[suf].oc++; return 0; } sz++; suf = sz; t[sz].oc = 1; t[sz].len = t[cur].len + 2; t[cur].nxt[ch] = sz; t[sz].en = pos; t[sz].st = pos - t[sz].len + 1; if (t[sz].len == 1) { t[sz].suflink = 2; t[sz].cnt = 1; t[sz].diff = 1; t[sz].slink = 2; return 1; } while (1) { cur = t[cur].suflink; curlen = t[cur].len; if (pos - 1 - curlen >= 0 && s[pos - 1 - curlen] == s[pos]) { t[sz].suflink = t[cur].nxt[ch]; break; } } t[sz].cnt = 1 + t[t[sz].suflink].cnt; t[sz].diff = t[sz].len - t[t[sz].suflink].len; if (t[sz].diff == t[t[sz].suflink].diff) t[sz].slink = t[t[sz].suflink].slink; else t[sz].slink = t[sz].suflink; return 1; } int build(string &p) { s = p; int n = p.size(); int tot = 0; for (int i = 0; i < n; i++) tot += add_letter(i); return tot; } void calc_oc() { for (int i = sz; i >= 3; i--) t[t[i].suflink].oc += t[i].oc; } void calc_dp(int i) { for (int v = suf; t[v].len > 0; v = t[v].slink) { series_ans[v] = ans[i - (t[t[v].slink].len + t[v].diff)]; if (t[v].diff == t[t[v].suflink].diff) series_ans[v] = (series_ans[v] + series_ans[t[v].suflink]) % mod; if (i % 2 == 0) ans[i] = (ans[i] + series_ans[v]) % mod; } } } t; int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); string p; cin >> p; string s = ""; int n = p.size(); for (int i = 0, j = n - 1; i <= j; i++, j--) s += p[i], s += p[j]; t.init(n); t.s = s; ans[0] = 1; for (int i = 0; i < n; i++) { t.add_letter(i); t.calc_dp(i + 1); } cout << ans[n] << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const int N = 1e6 + 100; const int mod = 1e9 + 7; char s[N], t[N]; int n; long long f[N], g[N]; struct Palindrome_tree { int nxt[N][26]; int fail[N]; int len[N]; int cnt[N]; int sed[N]; int record[N]; int diff[N], anc[N]; char s[N]; int tot; int last; int n; void newnode() { tot++; memset(nxt[tot], 0, sizeof(nxt[tot])); cnt[tot] = sed[tot] = len[tot] = fail[tot] = 0; } void init() { n = 0; tot = -1; newnode(); newnode(); len[0] = 0, len[1] = -1; tot = 1, last = 0; fail[0] = 1; } int getfail(int x, int n) { while (s[n - len[x] - 1] != s[n] || n - len[x] - 1 < 0) x = fail[x]; return x; } void insert(char ch) { int c = ch - 'a'; s[++n] = ch; int p = getfail(last, n); if (!nxt[p][c]) { newnode(); len[tot] = len[p] + 2; fail[tot] = nxt[getfail(fail[p], n)][c]; sed[tot] = sed[fail[tot]] + 1; nxt[p][c] = tot; diff[tot] = len[tot] - len[fail[tot]]; anc[tot] = diff[tot] == diff[fail[tot]] ? anc[fail[tot]] : fail[tot]; } last = nxt[p][c]; cnt[last]++; record[last] = n; trans(n); } void trans(int i) { for (int j = last; j > 1; j = anc[j]) { g[j] = f[i - len[anc[j]] - diff[j]]; if (diff[j] == diff[fail[j]]) g[j] = (g[j] + g[fail[j]]) % mod; f[i] = (f[i] + (i % 2 == 0) * g[j]) % mod; } } void get_cnt() { for (int i = tot; i > 0; i--) cnt[fail[i]] += cnt[i]; } } tree; int main() { tree.init(); scanf("%s", s + 1); n = strlen(s + 1); for (int i = 1; i <= n / 2; i++) { t[2 * i - 1] = s[i]; t[2 * i] = s[n - i + 1]; } f[0] = 1; for (int i = 1; i <= n; i++) tree.insert(t[i]); printf("%lld\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long N = 2e5 + 100; struct str { long long start, delta, count; str(long long start1 = 0, long long delta1 = 0, long long count1 = 0) : start(start1), delta(delta1), count(count1) {} long long end() { return start + delta * (count - 1); } }; vector<str> g1; void push(str t) { if ((long long)g1.size() == 0 || g1.back().delta != t.delta) { g1.push_back(t); } else { g1.back().count += t.count; } } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); string s; cin >> s; long long n = (long long)s.size(); string s1; for (long long i = 0; i < n / 2; i++) { s1 += s[i]; s1 += s[n - i - 1]; } vector<str> g; vector<long long> d(n + 1), cache(n + 1); d[0] = 1; for (long long i = 0; i < n; i++) { long long prev = -i - 1; for (auto t : g) { if (t.start > 0 && s1[t.start - 1] == s1[i]) { t.start--; if (prev != t.start - t.delta) { push(str(t.start, t.start - prev, 1)); t.start += t.delta; t.count--; } if (t.count > 0) { push(t); } prev = t.end(); } } if (i >= 1 && s1[i - 1] == s1[i]) { push(str(i - 1, i - 1 - prev, 1)); } g = move(g1); for (auto &t : g) { long long add = d[t.end()]; if (t.count > 1) { add += cache[t.start - t.delta]; } add %= mod; if (t.start - t.delta >= 0) { cache[t.start - t.delta] = add; } d[i + 1] += add; d[i + 1] %= mod; } g1.clear(); } cout << d[n]; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = (int)1e9 + 7; string s; struct tree { string s; int to[26][1000007]; int suf[1000007]; int slink[1000007]; int diff[1000007]; int len[1000007]; int last; int sz; tree() { s = "#"; for (int i = 0; i < 26; i++) for (int j = 0; j < 1000007; j++) to[i][j] = -1; sz = 2; last = 1; len[0] = -1; suf[1] = 0; suf[0] = -1; } void add(char c) { s += c; while (c != s[(int)s.size() - len[last] - 2]) last = suf[last]; if (to[c - 'a'][last] == -1) { int v = sz++; to[c - 'a'][last] = v; len[v] = len[last] + 2; do { last = suf[last]; } while (last != -1 && s[(int)s.size() - len[last] - 2] != c); if (last == -1) { suf[v] = 1; } else { suf[v] = to[c - 'a'][last]; } diff[v] = len[v] - len[suf[v]]; if (diff[v] == diff[suf[v]]) slink[v] = slink[suf[v]]; else slink[v] = suf[v]; last = v; } else last = to[c - 'a'][last]; } } tr; int dp[1000007]; int dpKek[1000007]; void add(int &a, int b) { a += b; if (a >= mod) a -= mod; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> s; string t; for (int i = 0; i < s.size(); i++) { if (i % 2 == 0) { t += s[i / 2]; } else { t += s[(int)s.size() - i / 2 - 1]; } } dp[0] = 1; for (int i = 1; i <= t.size(); i++) { char c = t[i - 1]; tr.add(c); for (int v = tr.last; v > 1; v = tr.slink[v]) { dpKek[v] = dp[i - tr.len[tr.slink[v]] - tr.diff[v]]; if (tr.diff[v] == tr.diff[tr.suf[v]]) add(dpKek[v], dpKek[tr.suf[v]]); add(dp[i], dpKek[v]); } if (i % 2 == 1) { dp[i] = 0; } } cout << dp[t.size()]; }
#include <bits/stdc++.h> using namespace std; const int maxn(1e6 + 5); const int mod(1e9 + 7); inline void Inc(int &x, int y) { if ((x += y) >= mod) x -= mod; } int n, f[maxn], dif[maxn], anc[maxn], g[maxn]; int fa[maxn], len[maxn], trans[26][maxn], tot, last; char s[maxn], tmp[maxn]; inline void Extend(int c, int pos) { register int np, p = last, q, i; while (s[pos] != s[pos - len[p] - 1]) p = fa[p]; if (!trans[c][p]) { np = ++tot, len[np] = len[p] + 2, q = fa[p]; while (s[pos] != s[pos - len[q] - 1]) q = fa[q]; fa[np] = trans[c][q], trans[c][p] = np; dif[np] = len[np] - len[fa[np]]; anc[np] = dif[np] == dif[fa[np]] ? anc[fa[np]] : np; } last = trans[c][p]; } int main() { register int i, j, l = 0; scanf(" %s", tmp + 1), n = strlen(tmp + 1); if (n & 1) return puts("0"), 0; for (i = 1, j = n; i <= j; ++i, --j) s[++l] = tmp[i], s[++l] = tmp[j]; f[0] = 1, len[1] = -1, fa[1] = fa[0] = 1, tot = last = 1; for (i = 1; i <= n; ++i) { Extend(s[i] - 'a', i); for (j = last; j; j = fa[anc[j]]) { g[j] = f[i - len[anc[j]]]; if (anc[j] != j) Inc(g[j], g[fa[j]]); if (~i & 1) Inc(f[i], g[j]); } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/stack:200000000") #pragma GCC optimize("Ofast") #pragma target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") using namespace std; const int inf = 0x3f3f3f3f; inline long long read() { register long long x = 0, f = 1; register char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = -1; for (; isdigit(c); c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48); return x * f; } void write(long long x) { if (x < 0) x = -x, putchar('-'); if (x >= 10) write(x / 10); putchar(x % 10 + '0'); } void writeln(long long x) { write(x); puts(""); } const int maxn = 1e6 + 233; const int mod = 1e9 + 7; int ans = 0, n; char s[maxn], ss[maxn]; int len[maxn], fail[maxn], tot, last, L[maxn]; int anc[maxn], f[maxn], g[maxn], dif[maxn]; int first[maxn], tote, nxtv[maxn], nxtx[maxn], nxtp[maxn]; inline void init() { s[0] = '#'; len[0] = 0; len[1] = -1; fail[0] = fail[1] = 1; tot = 1, last = 0; memset(first, -1, sizeof(first)); tote = 0; } inline void add(int x, int v, int to) { nxtv[tote] = v; nxtp[tote] = first[x]; nxtx[tote] = to; first[x] = tote++; } inline int find(int x, int v) { for (int e = first[x]; ~e; e = nxtp[e]) if (nxtv[e] == v) return nxtx[e]; return 0; } inline int gfail(int x, int pos) { while (s[pos - len[x] - 1] != s[pos]) x = fail[x]; return x; } void extend(int x) { last = gfail(last, x); if (!find(last, s[x])) { ++tot; len[tot] = len[last] + 2; int j = gfail(fail[last], x); fail[tot] = find(j, s[x]); dif[tot] = len[tot] - len[fail[tot]]; anc[tot] = fail[tot]; if (dif[tot] == dif[fail[tot]]) anc[tot] = anc[fail[tot]]; add(last, s[x], tot); } last = find(last, s[x]); } int main() { scanf("%s", ss + 1); n = strlen(ss + 1); if (n & 1) return puts("0"), 0; for (register int i = (1); i <= int(n / 2); ++i) { s[i * 2 - 1] = ss[i] - 'a'; s[i * 2] = ss[n - i + 1] - 'a'; } init(); f[0] = 1; for (register int i = (1); i <= int(n); ++i) { extend(i); for (int x = last; x; x = anc[x]) { if (dif[x] == dif[fail[x]]) { g[x] = f[i - (len[anc[x]] + dif[x])]; g[x] = (g[x] + g[fail[x]]) % mod; } else { g[x] = f[i - (len[anc[x]] + dif[x])]; } if (i % 2 == 0) f[i] = (f[i] + g[x]) % mod; } } writeln(f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const int maxn = 1e6 + 5; void update(int &x, int y) { x += y; if (x >= mod) x -= mod; } struct Palindromic_Tree { int next[maxn][26]; int fail[maxn]; int len[maxn]; int S[maxn]; int last; int diff[maxn], slink[maxn], fp[maxn]; int n; int p; int newnode(int l) { for (int i = 0; i < 26; ++i) next[p][i] = 0; len[p] = l; return p++; } void init() { p = 0; newnode(0); newnode(-1); last = 0; n = 0; S[n] = -1; fail[0] = 1; } int get_fail(int x) { while (S[n - len[x] - 1] != S[n]) x = fail[x]; return x; } int add(int c) { c -= 'a'; S[++n] = c; int cur = get_fail(last); if (!next[cur][c]) { int now = newnode(len[cur] + 2); fail[now] = next[get_fail(fail[cur])][c]; next[cur][c] = now; diff[now] = len[now] - len[fail[now]]; slink[now] = (diff[now] == diff[fail[now]] ? slink[fail[now]] : fail[now]); } last = next[cur][c]; return last; } void solve(int dp[], char s[], int n) { int i, j; init(); dp[0] = 1; for (i = 1; i <= n; i++) { for (j = add(s[i]); j; j = slink[j]) { fp[j] = dp[i - (len[slink[j]] + diff[j])]; if (diff[j] == diff[fail[j]]) update(fp[j], fp[fail[j]]); if (!(i & 1)) update(dp[i], fp[j]); } } } } Pt; char s1[maxn], ss[maxn]; int ans[maxn]; int main() { int n, i, l, r; scanf(" %s", s1); n = strlen(s1); for (i = 1, l = 0, r = n - 1; i <= n; i++) { if (i & 1) ss[i] = s1[l++]; else ss[i] = s1[r--]; } memset(ans, 0, sizeof(ans)); Pt.solve(ans, ss, n); printf("%d\n", ans[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10; const int mod = 1e9 + 7; int gi() { int x = 0, o = 1; char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') o = -1, ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x * o; } char t[N]; int n, m = 0, s[N], ch[N][26], fa[N], len[N], diff[N], anc[N], tot = 0, p = 0, f[N], g[N]; void extend(int n, int c) { while (s[n] != s[n - len[p] - 1]) p = fa[p]; if (!ch[p][c]) { int q = ++tot; len[q] = len[p] + 2; int v = fa[p]; while (s[n] != s[n - len[v] - 1]) v = fa[v]; fa[q] = ch[v][c]; ch[p][c] = q; diff[q] = len[q] - len[fa[q]], anc[q] = diff[q] == diff[fa[q]] ? anc[fa[q]] : fa[q]; } p = ch[p][c]; } int main() { scanf("%s", t + 1), n = strlen(t + 1); for (int i = 1; i <= n / 2; i++) s[++m] = t[i] - 'a', s[++m] = t[n - i + 1] - 'a'; s[0] = -1, s[n + 1] = -2; len[++tot] = -1, fa[0] = fa[1] = 1; f[0] = 1; for (int i = 1; i <= n; i++) { extend(i, s[i]); for (int v = p; v; v = anc[v]) { g[v] = f[i - len[anc[v]] - diff[v]]; if (fa[v] != anc[v]) g[v] = (g[v] + g[fa[v]]) % mod; if (!(i & 1)) f[i] = (f[i] + g[v]) % mod; } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10; const int mo = 1e9 + 7; char s[N], g[N]; int n, slink[N], link[N], c[N][26], len[N], tot, last, d[N]; long long f[N], sumf[N][2]; int main() { scanf("%s", s + 1); n = strlen(s + 1); if (n % 2) { printf("0"); return 0; } for (int i = 1; i * 2 <= n; i++) g[i * 2 - 1] = s[i]; for (int i = n, w = 2; i > (n >> 1); i--, w += 2) { g[w] = s[i]; } memcpy(s, g, sizeof s); f[0] = 1; len[1] = -1; link[0] = 1; tot = 1; for (int i = 1; i <= n; i++) { while (s[i - 1 - len[last]] != s[i]) { last = link[last]; } int r = s[i] - 'a'; if (c[last][r] == 0) { len[++tot] = len[last] + 2; int k = link[last]; while (s[i - 1 - len[k]] != s[i]) k = link[k]; link[tot] = c[k][r]; c[last][r] = tot; d[tot] = len[tot] - len[link[tot]]; slink[tot] = d[tot] == d[link[tot]] ? slink[link[tot]] : link[tot]; } last = c[last][r]; for (int v = last; len[v] > 0; v = slink[v]) { sumf[v][0] = sumf[v][1] = 0; sumf[v][(i - len[slink[v]] - d[v]) & 1] = f[i - len[slink[v]] - d[v]]; if (d[v] == d[link[v]]) { sumf[v][0] = (sumf[v][0] + sumf[link[v]][0]) % mo; sumf[v][1] = (sumf[v][1] + sumf[link[v]][1]) % mo; } f[i] = (f[i] + sumf[v][i & 1]) % mo; } } cout << f[n] << endl; }
#include <bits/stdc++.h> inline int read() { int data = 0, w = 1; char ch = getchar(); while (ch != '-' && (ch < '0' || ch > '9')) ch = getchar(); if (ch == '-') w = -1, ch = getchar(); while (ch >= '0' && ch <= '9') data = data * 10 + (ch ^ 48), ch = getchar(); return data * w; } constexpr int N(1e6 + 10), Mod(1e9 + 7); inline void Add(int &x, const int &y) { x += y - Mod, x += x >> 31 & Mod; } int n, son[N][26], fail[N], len[N], s[N], f[N], g[N]; int last = 0, cur = 1, cnt, dlt[N], pre[N]; char ch[N], a[N]; void Init() { len[1] = -1, fail[0] = 1, s[0] = 26; } int find(int x) { while (s[cnt - len[x] - 1] != s[cnt]) x = fail[x]; return x; } void extend(int c) { s[++cnt] = c; int t = find(last); if (!son[t][c]) { len[++cur] = len[t] + 2, fail[cur] = son[find(fail[t])][c], son[t][c] = cur, dlt[cur] = len[cur] - len[fail[cur]], pre[cur] = (dlt[cur] == dlt[fail[cur]] ? pre[fail[cur]] : fail[cur]); } last = son[t][c]; } int main() { std::scanf("%s", ch + 1), n = std::strlen(ch + 1), f[0] = 1, Init(); for (int i = 1, j = 0; i <= n && j <= n; i++) a[++j] = ch[i], a[++j] = ch[n - i + 1]; for (int i = 1; i <= n; i++) { extend(a[i] - 'a'); for (int x = last; x > 1; x = pre[x]) { g[x] = f[i - len[pre[x]] - dlt[x]]; if (dlt[x] == dlt[fail[x]]) Add(g[x], g[fail[x]]); if (!(i & 1)) Add(f[i], g[x]); } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int X = 0, w = 1; char ch = 0; while (ch < '0' || ch > '9') { if (ch == '-') w = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') X = (X << 3) + (X << 1) + ch - '0', ch = getchar(); return X * w; } char ch[1000007], s[1000007]; int n, last, tot, anc[1000007], diz[1000007], ans[1000007], f[1000007]; struct mmp { int z, len, son[26]; } t[1000007]; void extend(int c, int n, char *s) { int p = last; while (s[n - t[p].len - 1] != s[n]) { p = t[p].z; } if (!t[p].son[c]) { int v = ++tot, k = t[p].z; t[v].len = t[p].len + 2; while (s[n - t[k].len - 1] != s[n]) { k = t[k].z; } t[v].z = t[k].son[c]; t[p].son[c] = v; diz[v] = t[v].len - t[t[v].z].len; anc[v] = (diz[v] == diz[t[v].z]) ? anc[t[v].z] : t[v].z; } last = t[p].son[c]; } int main() { t[tot = 1].len = -1; t[0].z = t[1].z = 1; anc[0] = 1; scanf("%s", ch + 1); n = strlen(ch + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i <= n; i += 2) { s[i] = ch[(i + 1) / 2]; } reverse(&ch[1], &ch[n + 1]); for (int i = 2; i <= n; i += 2) { s[i] = ch[(i + 1) / 2]; } ans[0] = 1; for (int i = 1; i <= n; i++) { extend(s[i] - 97, i, s); for (int k = last; k; k = anc[k]) { f[k] = ans[i - t[anc[k]].len - diz[k]]; if (anc[k] != t[k].z) { f[k] = (f[k] + f[t[k].z]) % 1000000007; } if (!(i & 1)) { ans[i] = (ans[i] + f[k]) % 1000000007; } } } printf("%d\n", ans[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long mo = 1e9 + 7; template <typename _T> _T Fabs(_T x) { return x > 0 ? x : -x; } template <typename _T> void read(_T &x) { _T f = 1; x = 0; char s = getchar(); while ('0' > s || '9' < s) { if (s == '-') f = -1; s = getchar(); } while ('0' <= s && s <= '9') { x = (x << 3) + (x << 1) + (s ^ 48); s = getchar(); } x *= f; } char str[1000100], astr[1000100]; int dp[1000100], g[1000100], n; struct ming { int ch[30], len, fail, siz, eail, dif; }; int add(int x, int y) { return x + y < mo ? x + y : x + y - mo; } class PAM { public: ming a[1000100]; int tot, las; int getfail(int x, int pos) { while (str[pos - a[x].len - 1] != str[pos]) x = a[x].fail; return x; } void init() { a[1].len = -1; a[0].fail = a[1].fail = 1; tot = 1; las = 0; } void extend(int x, int p) { int cur = getfail(las, p), now = a[cur].ch[x]; if (!now) { now = ++tot; a[now].len = a[cur].len + 2; a[now].fail = a[getfail(a[cur].fail, p)].ch[x]; a[cur].ch[x] = now; a[now].dif = a[now].len - a[a[now].fail].len; if (a[now].dif == a[a[now].fail].dif) a[now].eail = a[a[now].fail].eail; else a[now].eail = a[now].fail; } a[las = now].siz++; while (now > 1) { g[now] = dp[p - a[a[now].eail].len - a[now].dif]; if (a[now].eail != a[now].fail) g[now] = add(g[now], g[a[now].fail]); if (!(p & 1)) dp[p] = add(dp[p], g[now]); now = a[now].eail; } } } T; signed main() { scanf("%s", str + 1); n = (int)strlen(str + 1); int l = 1, r = n, id = 0; while (l <= r) astr[++id] = str[l++], astr[++id] = str[r--]; T.init(); for (int i = 1; i <= n; i++) str[i] = astr[i]; dp[0] = 1; for (int i = 1; i <= n; i++) T.extend(str[i] - 'a', i); printf("%d\n", dp[n]); return 0; }
#include <bits/stdc++.h> bool m1; FILE *Input = stdin, *Output = stdout; const int maxn = 1e6 + 5, Mod = 1e9 + 7, maxa = 30; int trans[maxn][maxa], link[maxn], len[maxn], totn; int diff[maxn], slink[maxn], dp[maxn], Sum[maxn]; int S[maxn], pos[maxn]; char Buf[maxn]; bool m2; int Plus(int ar1, int ar2, int ar3) { return ar3 - ar1 <= ar2 ? ar1 - ar3 + ar2 : ar1 + ar2; } int Minu(int ar1, int ar2, int ar3) { return ar1 - ar2 < 0 ? ar1 - ar2 + ar3 : ar1 - ar2; } int Mul(int ar1, int ar2, int ar3) { return 1LL * ar1 * ar2 >= ar3 ? 1LL * ar1 * ar2 % ar3 : ar1 * ar2; } void Build_PAM(int ar1[], int ar2) { totn = 2; len[1] = -1; len[2] = 0; link[2] = 1; int nowlast = 2; for (int i = 1; i <= ar2; i++) { int now = nowlast; while (ar1[i] != ar1[i - len[now] - 1]) now = link[now]; if (!trans[now][ar1[i]]) { trans[now][ar1[i]] = ++totn; len[totn] = len[now] + 2; if (~len[now]) { int nowlink = link[now]; while (ar1[i] != ar1[i - len[nowlink] - 1]) nowlink = link[nowlink]; link[totn] = trans[nowlink][ar1[i]]; } else link[totn] = 2; diff[totn] = len[totn] - len[link[totn]]; slink[totn] = (diff[totn] == diff[link[totn]] ? slink[link[totn]] : link[totn]); } nowlast = trans[now][ar1[i]]; pos[i] = nowlast; } } int main() { fscanf(Input, "%s", Buf + 1); int n = strlen(Buf + 1); for (int i = 1; i <= n; i++) S[i] = (i & 1 ? Buf[(i >> 1) + 1] : Buf[n - (i >> 1) + 1]) - 96; Build_PAM(S, n); dp[0] = 1; for (int i = 1; i <= n; i++) { for (int j = pos[i]; j != 2; j = slink[j]) { Sum[j] = Plus(link[j] == slink[j] ? 0 : Sum[link[j]], dp[i - len[slink[j]] - diff[j]], Mod); if (!(i & 1)) dp[i] = Plus(dp[i], Sum[j], Mod); } } fprintf(Output, "%d\n", dp[n]); fclose(Input); fclose(Output); return 0; }
#include <bits/stdc++.h> const int mxN(1000233), p(1000000007), sta(0), debug(0); int n, str[mxN]; inline void init() { if (sta == 1 || sta == 2) freopen("a.in", "r", stdin); static char s[mxN]; scanf("%s", s); n = strlen(s); if (n & 1) { puts("0"); exit(0); } for (int i = 0, j = n - 1; i < j; ++i, --j) str[i << 1 | 1] = s[i] - 'a', str[(i + 1) << 1] = s[j] - 'a'; str[0] = -1; } namespace PT { struct D { int l, d, v[2]; D *f, *a, *e[26]; } ar[mxN], *ed = ar; int m; inline void init() { m = 2; ar->f = ar + 1; ar[1].l = -1; } inline void insert(int n) { int c = str[n]; D *u = ed; for (; c != str[n - u->l - 1]; u = u->f) ; if (u->e[c]) { ed = u->e[c]; return; } D *v = u->e[c] = ed = ar + m++; v->l = u->l + 2; if (u == ar + 1) { v->f = v->a = ar; v->d = 1; return; } for (u = u->f; c != str[n - u->l - 1]; u = u->f) ; v->f = u->e[c]; v->a = (v->d = v->l - v->f->l) == v->f->d ? v->f->a : v->f; } } // namespace PT int main() { init(); PT::init(); static int f[mxN]; f[0] = 1; for (int i = 1; i <= n; ++i) { PT::insert(i); if (debug) { using namespace PT; printf("%d\n", str[i]); printf("%ld %ld %ld\n", ed - ar, ed->f - ar, ed->a - ar); } for (PT::D *u = PT::ed; u != PT::ar; u = u->a) { u->v[(u->a->l + u->d) & 1] = f[i - u->a->l - u->d]; u->v[~(u->a->l + u->d) & 1] = 0; if (u->f != u->a) { u->v[0] = (u->v[0] + u->f->v[u->d & 1]) % p; u->v[1] = (u->v[1] + u->f->v[~u->d & 1]) % p; } f[i] = (f[i] + u->v[0]) % p; } } printf("%d\n", (f[n] + p) % p); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; inline int add(int a, int b) { if ((a += b) >= mod) a -= mod; return a; } namespace PAM { char buf[1000010]; class node { public: int fail, nxt[26], len, num, cnt, diff, anc; }; class PAM { public: node t[1000010]; int s[1000010]; int nodecnt, last, n; int newnode(int l) { int p = nodecnt++; memset(t[p].nxt, 0, sizeof(t[p].nxt)); t[p].num = t[p].cnt = 0; t[p].len = l; return p; } void init() { nodecnt = 0; newnode(0); newnode(-1); last = n = 0; s[n] = -1; t[0].fail = 1; t[0].anc = 1; } inline int getfail(int x) { while (s[n - t[x].len - 1] != s[n]) x = t[x].fail; return x; } void insert(int c) { s[++n] = c; int cur = getfail(last); if (!t[cur].nxt[c]) { int now = newnode(t[cur].len + 2); t[now].fail = t[getfail(t[cur].fail)].nxt[c]; t[cur].nxt[c] = now; t[now].num = t[t[now].fail].num + 1; t[now].diff = t[now].len - t[t[now].fail].len; t[now].anc = (t[now].diff == t[t[now].fail].diff) ? t[t[now].fail].anc : t[now].fail; } last = t[cur].nxt[c]; ++t[last].cnt; } void count() { for (int i = nodecnt - 1; i > 0; i--) t[t[i].fail].cnt += t[i].cnt; } } p; } // namespace PAM int n; char s[1000010], s2[1000010]; int f[1000010], g[1000010]; int main() { scanf("%s", s + 1); n = strlen(s + 1); PAM::p.init(); for (int i = 1; i <= n; i++) { if (i > n + 1 - i) break; s2[i * 2 - 1] = s[i]; if (i != n + 1 - i) s2[i * 2] = s[n + 1 - i]; } memcpy(s, s2, sizeof(s2)); f[0] = 1; for (int i = 1; i <= n; i++) { PAM::p.insert(s[i] - 'a'); int pos = PAM::p.last; for (int j = pos; j; j = PAM::p.t[j].anc) { g[j] = f[i - PAM::p.t[PAM::p.t[j].anc].len - PAM::p.t[j].diff]; if (PAM::p.t[j].anc != PAM::p.t[j].fail) g[j] = add(g[j], g[PAM::p.t[j].fail]); if (!(i & 1)) f[i] = add(f[i], g[j]); } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> const int maxn = 1E+6 + 5; const long long mod = 1E+9 + 7; int n; char s[maxn], t[maxn]; namespace PAM { int ind, last, ch[maxn][26]; int fa[maxn], len[maxn]; int dif[maxn], sf[maxn]; inline void init() { ind = fa[0] = 1; len[0] = last = 0; len[1] = fa[1] = -1; } inline int getfa(int u) { while (s[n - len[u] - 1] != s[n]) u = fa[u]; return u; } inline int extend(int c) { int p = getfa(last); if (ch[p][c]) return last = ch[p][c]; int np = ++ind; len[np] = len[p] + 2; fa[np] = ch[getfa(fa[p])][c]; ch[p][c] = np, dif[np] = len[np] - len[fa[np]]; if (dif[np] == dif[fa[np]]) sf[np] = sf[fa[np]]; else sf[np] = fa[np]; return last = np; } } // namespace PAM long long f[maxn], g[maxn]; int main() { scanf("%s", t + 1), PAM::init(); int Len = strlen(t + 1); for (int i = 1; i <= Len; ++i) s[i] = i & 1 ? t[i / 2 + 1] : t[Len - i / 2 + 1]; f[0] = 1; for (n = 1; n <= Len; ++n) { for (int p = PAM::extend(s[n] - 'a'); p > 1; p = PAM::sf[p]) { g[p] = f[n - PAM::len[PAM::sf[p]] - PAM::dif[p]]; if (PAM::dif[p] == PAM::dif[PAM::fa[p]]) (g[p] += g[PAM::fa[p]]) %= mod; (f[n] += g[p]) %= mod; } if (n & 1) f[n] = 0; } printf("%lld", f[Len]); }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 50; const int mod = 1e9 + 7; int n, f[N], tot = 1; char s[N], t[N]; int last, son[N][27], diff[N], len[N], link[N], slink[N], series_ans[N]; inline int getfail(int pos, int l) { while (s[l - len[pos] - 1] != s[l]) pos = link[pos]; return pos; } int main() { len[1] = -1; link[0] = 1; diff[0] = 1; scanf("%s", t + 1); n = strlen(t + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i <= n; i++) { if (i & 1) s[i] = t[(i + 1) / 2]; else s[i] = t[n - i / 2 + 1]; } f[0] = 1; for (int i = 1; i <= n; i++) { int c = s[i] - 'a' + 1; int now = getfail(last, i); if (!son[now][c]) { len[++tot] = len[now] + 2; link[tot] = son[getfail(link[now], i)][c]; diff[tot] = len[tot] - len[link[tot]]; if (diff[tot] == diff[link[tot]]) slink[tot] = slink[link[tot]]; else slink[tot] = link[tot]; son[now][c] = tot; } last = son[now][c]; for (int v = last; len[v]; v = slink[v]) { series_ans[v] = f[i - (len[slink[v]] + diff[v])]; if (diff[v] == diff[link[v]]) series_ans[v] = (series_ans[v] + series_ans[link[v]]) % mod; f[i] = (f[i] + series_ans[v]) % mod; } if (i & 1) f[i] = 0; } printf("%d\n", f[n]); }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; template <typename T> void chkmax(T &a, T b) { a = max(a, b); } template <typename T> void chkmin(T &a, T b) { a = min(a, b); } template <typename T> void ADD(T &a, T b) { a = a + b; if (a >= MOD) a -= MOD; } const int N = 1100000; int n; char P[N], S[N]; int par[N], anc[N], len[N], nxt[N][30], F[N], G[N]; int tot, cnt, las; void append(int c) { c -= 'a' - 1; S[++tot] = c; int p = las; while (p && S[tot] != S[tot - len[p] - 1]) p = par[p]; if (!p) p = 1; if (nxt[p][c]) las = nxt[p][c]; else { int np = las = nxt[p][c] = ++cnt; len[np] = len[p] + 2; int q = par[p]; while (q && S[tot] != S[tot - len[q] - 1]) q = par[q]; if (!q) par[np] = 2; else par[np] = nxt[q][c]; int nq = par[np]; if (len[np] - len[nq] == len[nq] - len[par[nq]] && nq != 2) anc[np] = anc[nq]; else anc[np] = np; } for (int np = nxt[p][c]; np != 2; np = par[anc[np]]) { G[np] = ((np != anc[np] ? G[par[np]] : 0) + F[tot - len[anc[np]]]) % MOD; ADD(F[tot], G[np]); } } int main() { ios ::sync_with_stdio(0); cin >> (P + 1); n = strlen(P + 1); cnt = 2; las = 1; len[1] = -1; par[2] = 1; anc[1] = 1; anc[2] = 2; F[0] = 1; for (int i = 1, j = n; i < j; ++i, --j) append(P[i]), F[tot] = 0, append(P[j]); cout << F[tot] << endl; }
#include <bits/stdc++.h> using namespace std; const int P = 1000000007; const int N = 1010000; int fail[N]; int go[N][26], len[N], diff[N], anc[N], lst; int n; char str[N]; int p; int s[N]; int f[N], g[N]; void addChar(int c, int ww) { int x = lst; while (s[ww] != s[ww - len[x] - 1]) { x = fail[x]; } if (!go[x][c]) { len[p] = len[x] + 2; int k = fail[x]; while (s[ww] != s[ww - len[k] - 1]) k = fail[k]; fail[p] = go[k][c]; go[x][c] = p; diff[p] = len[p] - len[fail[p]]; if (diff[p] == diff[fail[p]]) anc[p] = anc[fail[p]]; else anc[p] = fail[p]; p++; } lst = go[x][c]; } void init() { p = 2; len[0] = 0; len[1] = -1; fail[0] = 1; fail[1] = 0; f[0] = 1; lst = 1; } int main() { scanf("%s", str + 1); n = strlen(str + 1); if (n & 1) { printf("0\n"); return 0; } for (int i = (int)1; i <= (int)n / 2; i++) { s[i * 2 - 1] = str[i] - 'a'; s[i * 2] = str[n + 1 - i] - 'a'; } s[0] = -1; init(); for (int i = (int)1; i <= (int)n; i++) { addChar(s[i], i); for (int x = lst; x; x = anc[x]) { g[x] = f[i - (len[anc[x]] + diff[x])]; if (anc[x] != fail[x]) { g[x] = (g[x] + g[fail[x]]) % P; } if (i % 2 == 0) f[i] = (f[i] + g[x]) % P; } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10, P = 1e9 + 7; int n, cnt, pos[N], len[N], dis[N], fa[N], top[N], ch[N][26]; char t[N], s[N]; int f[N], ans[N]; int jump(int x, int p) { while (s[p - len[x] - 1] != s[p]) x = fa[x]; return x; } int Insert(int x, int p) { x = jump(x, p); int c = s[p] - 'a'; if (!ch[x][c]) { ++cnt; len[cnt] = len[x] + 2; int y = jump(fa[x], p); fa[cnt] = ch[y][c]; y = cnt; dis[y] = len[y] - len[fa[y]]; if (dis[y] != dis[fa[y]]) top[y] = y; else top[y] = top[fa[y]]; ch[x][c] = y; } return ch[x][c]; } int main() { scanf("%s", t + 1); n = strlen(t + 1); if (n & 1) return puts("0") & 0; for (int i = 1; i <= n; i += 2) s[i] = t[i / 2 + 1]; for (int i = 2; i <= n; i += 2) s[i] = t[n - i / 2 + 1]; len[1] = -1; fa[0] = top[1] = cnt = 1; for (int i = 1; i <= n; i++) pos[i] = Insert(pos[i - 1], i); ans[0] = 1; for (int i = 1; i <= n; i++) { for (int x = pos[i]; x; x = fa[top[x]]) { f[x] = ans[i - len[top[x]]]; if (x != top[x]) (f[x] += f[fa[x]]) %= P; if (!(i & 1)) (ans[i] += f[x]) %= P; } } printf("%d\n", ans[n]); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O2") #pragma G++ optimize("O2") using namespace std; const int N = 1111111; const int M = 666666; const int MOD = 1e9 + 7; const int intINF = 1e9; const long long llINF = 2e18; const double pi = acos(-1.0); const int dx[4] = {-1, 1, 0, 0}; const int dy[4] = {0, 0, -1, 1}; const double eps = 1e-10; int read() { int v = 0, f = 1; char c = getchar(); while (c < 48 || 57 < c) { if (c == '-') f = -1; c = getchar(); } while (48 <= c && c <= 57) v = (v << 3) + v + v + c - 48, c = getchar(); return v * f; } long long readll() { long long v = 0, f = 1; char c = getchar(); while (c < 48 || 57 < c) { if (c == '-') f = -1; c = getchar(); } while (48 <= c && c <= 57) v = (v << 3) + v + v + c - 48, c = getchar(); return v * f; } unsigned long long readull() { long long v = 0, f = 1; char c = getchar(); while (c < 48 || 57 < c) { if (c == '-') f = -1; c = getchar(); } while (48 <= c && c <= 57) v = (v << 3) + v + v + c - 48, c = getchar(); return v * f; } char ch[N]; int m; void predo() {} void init() { scanf("%s", ch + 1); m = strlen(ch + 1); } int q, p, id, num[N], F[N], f[N], _f[N], len[N], sk[N], df[N], t[N][26]; int s[N], n; struct pam { void add(int x, int n) { while (s[n - len[p] - 1] != s[n]) p = F[p]; if (!t[p][x]) { int q = ++id, k = F[p]; len[q] = len[p] + 2; while (s[n - len[k] - 1] != s[n]) k = F[k]; F[q] = t[k][x]; t[p][x] = q; df[q] = len[q] - len[F[q]]; sk[q] = (df[q] == df[F[q]] ? sk[F[q]] : F[q]); } p = t[p][x]; } } pam; void solve() { int i = 1, j = m; n = 0; while (n < m) { s[++n] = ch[i] - 'a'; i++; s[++n] = ch[j] - 'a'; j--; } s[0] = s[n + 1] = 114514; id = F[0] = 1; len[1] = -1; _f[0] = 1; f[0] = 1; for (int i = (int)1; i <= (int)n; i++) { pam.add(s[i], i); for (int x = p; x; x = sk[x]) { _f[x] = f[i - len[sk[x]] - df[x]]; if (df[F[x]] == df[x]) _f[x] = (_f[x] + _f[F[x]]) % MOD; f[i] = (f[i] + _f[x]) % MOD; } if (i & 1) f[i] = 0; } printf("%d\n", f[n]); } int main() { predo(); int cas = 1; while (cas--) { init(); solve(); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") const int N = 1000010; const int P = 1000000007; char s[N]; int n, m, c[N], sz, ch[N][26], fail[N], len[N], diff[N], slink[N], g[N], f[N], last; inline void Init() { c[0] = 233; (len[sz] = (0), sz++); (len[sz] = (-1), sz++); fail[0] = 1; fail[1] = 1; last = 0; } inline int find(int x) { while (c[m - len[x] - 1] != c[m]) x = fail[x]; return x; } inline void insert(int x) { c[++m] = x; int idx = find(last); if (!ch[idx][x]) { int nw = (len[sz] = (len[idx] + 2), sz++); fail[nw] = ch[find(fail[idx])][x]; ch[idx][x] = nw; diff[nw] = len[nw] - len[fail[nw]]; slink[nw] = diff[nw] == diff[fail[nw]] ? slink[fail[nw]] : fail[nw]; } last = ch[idx][x]; } int main() { Init(); scanf("%s", s + 1); n = strlen(s + 1); int l = n >> 1, r = l + 1, cur = 0; register int x, ans; f[0] = 1; while (r - l <= n) { ++cur; insert(cur & 1 ? s[l--] - 'a' : s[r++] - 'a'); ans = 0; for (x = last; x; x = slink[x]) { g[x] = f[cur - (len[slink[x]] + diff[x])]; if (diff[x] == diff[fail[x]]) g[x] = (g[x] + g[fail[x]]) % P; ans = (ans + g[x]) % P; } if (!(cur & 1)) f[cur] = ans; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename Tp> inline void read(Tp &x) { static char c; static bool neg; x = 0, c = getchar(), neg = false; for (; !isdigit(c); c = getchar()) { if (c == '-') { neg = true; } } for (; isdigit(c); c = getchar()) { x = x * 10 + c - '0'; } if (neg) { x = -x; } } const int N = 1e6 + 5; const int CS = 26; const int MOD = 1e9 + 7; namespace PAM { int next[N][CS], length[N], fail[N], link[N], diff[N], jump[N], last = 0; int nodeCnt = 0; char str[N]; int len = 0; inline int newNode(int len) { length[nodeCnt] = len; return nodeCnt++; } inline void init() { newNode(0); newNode(-1); fail[0] = 1; str[0] = '$'; } inline int getFail(int x) { while (str[len - 1 - length[x]] != str[len]) { x = fail[x]; } return x; } inline void extend() { ++len; int cur = getFail(last); int d = str[len] - 'a'; if (!next[cur][d]) { int u = newNode(length[cur] + 2); fail[u] = next[getFail(fail[cur])][d]; next[cur][d] = u; diff[u] = length[u] - length[fail[u]]; if (diff[u] == diff[fail[u]]) { jump[u] = jump[fail[u]]; } else { jump[u] = fail[u]; } } last = next[cur][d]; } } // namespace PAM inline void inc(int &x, const int &y) { x += y; if (x >= MOD) { x -= MOD; } else if (x < 0) { x += MOD; } } int n; char str[N]; int f[N], ans[N]; int main() { PAM::init(); scanf("%s", str); n = strlen(str); if (n % 2 == 1) { puts("0"); return 0; } for (int i = 0; i < n; i += 2) { PAM::str[i + 1] = str[i / 2]; } reverse(str, str + n); for (int i = 0; i < n; i += 2) { PAM::str[i + 2] = str[i / 2]; } ans[0] = 1; for (int i = 1; i <= n; ++i) { PAM::extend(); for (int u = PAM::last; u != 0; u = PAM::jump[u]) { f[u] = ans[i - PAM::length[PAM::jump[u]] - PAM::diff[u]]; if (PAM::jump[u] != PAM::fail[u]) { inc(f[u], f[PAM::fail[u]]); } if (i % 2 == 0) { inc(ans[i], f[u]); } } } printf("%d\n", ans[n]); }
#include <bits/stdc++.h> using namespace std; const int Mod = 1e9 + 7; int n, l, t, las, cnt, a[1000005], fail[1000005], len[1000005], h[1000005], g[1000005], f[1000005], ans[1000005], tr[1000005][28]; char s[1000005]; inline int get_fail(int x, int y) { while (a[x] != a[x - len[y] - 1]) y = fail[y]; return y; } int main() { scanf("%s", s), n = strlen(s), l = n >> 1, fail[0] = ans[0] = cnt = 1, len[1] = a[0] = -1; if (n & 1) { puts("0"); return 0; } for (register int i = 0; i < l; ++i) a[(i << 1) | 1] = s[i] - 97; for (register int i = l; i < n; ++i) a[(n - i) << 1] = s[i] - 97; for (register int i = 1; i <= n; ++i) { t = get_fail(i, las); if (!tr[t][a[i]]) { fail[++cnt] = tr[get_fail(i, fail[t])][a[i]], len[cnt] = len[t] + 2, h[cnt] = len[cnt] - len[fail[cnt]], tr[t][a[i]] = cnt; if (h[cnt] == h[fail[cnt]]) g[cnt] = g[fail[cnt]]; else g[cnt] = fail[cnt]; } las = tr[t][a[i]]; for (register int j = las; j; j = g[j]) { f[j] = ans[i - len[g[j]] - h[j]]; if (g[j] != fail[j]) f[j] = (f[j] + f[fail[j]]) % Mod; if (!(i & 1)) ans[i] = (ans[i] + f[j]) % Mod; } } printf("%d", ans[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 1000000007, N = 1000005; int n, m, ch[N][26], len[N], tot, k, i, j, las, fail[N]; int d[N], g[N]; char cc[N], c[N]; long long dp[N], f[N]; int main() { scanf("%s", cc + 1); n = strlen(cc + 1); len[1] = -1; fail[0] = 1; for (i = 1; i <= n / 2; ++i) { c[++k] = cc[i]; c[++k] = cc[n - i + 1]; } tot = 1; dp[0] = 1; for (i = 1; i <= n; ++i) { int p = las; while (c[i - len[p] - 1] != c[i]) p = fail[p]; if (ch[p][c[i] - 'a'] == 0) { int v = p; p = fail[p]; while (c[i - len[p] - 1] != c[i]) p = fail[p]; fail[++tot] = ch[p][c[i] - 'a']; ch[v][c[i] - 'a'] = tot; len[tot] = len[v] + 2; las = tot; d[tot] = len[tot] - len[fail[tot]]; if (d[tot] == d[fail[tot]]) g[tot] = g[fail[tot]]; else g[tot] = fail[tot]; } else las = ch[p][c[i] - 'a']; p = las; while (p) { f[p] = dp[i - d[p] - len[g[p]]]; if (g[p] != fail[p]) f[p] = (f[p] + f[fail[p]]) % M; if ((i & 1) ^ 1) dp[i] = (dp[i] + f[p]) % M; p = g[p]; } } cout << dp[n]; }
#include <bits/stdc++.h> using namespace std; template <class T> inline void read(T& num) { num = 0; T f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') num = num * 10 + ch - '0', ch = getchar(); num *= f; } inline int getgcd(int x, int y) { if (!x) return y; return getgcd(y % x, x); } inline int power(int x, int k, int p) { int res = 1; for (; k; k >>= 1, x = (long long)x * x % p) if (k & 1) res = (long long)res * x % p; return res; } const double pi = acos(-1); inline void judge() { freopen("input.txt", "r", stdin); } const int maxn = 1e6 + 5, mod = 1e9 + 7; int cnt, lst, n; char str[maxn], a[maxn]; int f[maxn], g[maxn], len[maxn], nxt[maxn][26], pre[maxn], anc[maxn], diff[maxn]; void extend(int n, int x) { while (a[n] != a[n - len[lst] - 1]) lst = pre[lst]; if (nxt[lst][x]) lst = nxt[lst][x]; else { int now = pre[lst]; while (a[n] != a[n - len[now] - 1]) now = pre[now]; pre[++cnt] = nxt[now][x]; nxt[lst][x] = cnt; len[cnt] = len[lst] + 2; diff[cnt] = len[cnt] - len[pre[cnt]]; if (diff[cnt] == diff[pre[cnt]]) anc[cnt] = anc[pre[cnt]]; else anc[cnt] = pre[cnt]; lst = cnt; } } int main() { scanf("%s", str + 1); n = strlen(str + 1); for (int(i) = (1); (i) <= (n / 2); (i)++) a[2 * i - 1] = str[i], a[2 * i] = str[n - i + 1]; len[1] = -1; pre[1] = pre[0] = 1; cnt = 1; f[0] = 1; for (int(i) = (1); (i) <= (n); (i)++) { extend(i, a[i] - 'a'); for (int tmp = lst; tmp; tmp = anc[tmp]) { g[tmp] = f[i - len[anc[tmp]] - diff[tmp]]; if (diff[tmp] == diff[pre[tmp]]) g[tmp] = (g[tmp] + g[pre[tmp]]) % mod; f[i] = (f[i] + g[tmp]) % mod; } if (i & 1) f[i] = 0; } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { register int x = 0, t = 1; register char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') t = -1, ch = getchar(); while (ch <= '9' && ch >= '0') x = x * 10 + ch - 48, ch = getchar(); return x * t; } char ch[1000100], s[1000100]; int n, anc[1000100], diff[1000100]; int ans[1000100], f[1000100]; struct Palindromic_Tree { struct Node { int son[26]; int ff, len; } t[1000100]; int last, tot; void init() { t[tot = 1].len = -1; t[0].ff = t[1].ff = 1; anc[0] = 1; } void extend(int c, int n, char *s) { int p = last; while (s[n - t[p].len - 1] != s[n]) p = t[p].ff; if (!t[p].son[c]) { int v = ++tot, k = t[p].ff; t[v].len = t[p].len + 2; while (s[n - t[k].len - 1] != s[n]) k = t[k].ff; t[v].ff = t[k].son[c]; t[p].son[c] = v; diff[v] = t[v].len - t[t[v].ff].len; anc[v] = (diff[v] == diff[t[v].ff]) ? anc[t[v].ff] : t[v].ff; } last = t[p].son[c]; } } PT; int main() { PT.init(); scanf("%s", ch + 1); n = strlen(ch + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i <= n; i += 2) s[i] = ch[(i + 1) / 2]; reverse(&ch[1], &ch[n + 1]); for (int i = 2; i <= n; i += 2) s[i] = ch[(i + 1) / 2]; ans[0] = 1; for (int i = 1; i <= n; ++i) { PT.extend(s[i] - 97, i, s); for (int k = PT.last; k; k = anc[k]) { f[k] = ans[i - PT.t[anc[k]].len - diff[k]]; if (anc[k] != PT.t[k].ff) f[k] = (f[k] + f[PT.t[k].ff]) % 1000000007; if (!(i & 1)) ans[i] = (ans[i] + f[k]) % 1000000007; } } printf("%d\n", ans[n]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int readint() { int a = 0; char c = getchar(), f = 1; for (; c < '0' || c > '9'; c = getchar()) if (c == '-') f = -f; for (; '0' <= c && c <= '9'; c = getchar()) a = (a << 3) + (a << 1) + (c ^ 48); return a * f; } const int MaxN = 1000005; const int CharSiz = 26; const int Mod = 1e9 + 7; int f[MaxN], g[MaxN]; char s[MaxN] = {-1}; namespace PAM { int ch[MaxN][CharSiz]; int fail[MaxN] = {1, 1}; int len[MaxN] = {0, -1}; int lst = 1, cntNode = 1; int top[MaxN] = {0, 1}; void add(int n) { int p = lst; while (s[n - len[p] - 1] != s[n]) p = fail[p]; int now = ch[p][s[n] - 'a']; if (now == 0) { now = ++cntNode; len[now] = len[p] + 2; fail[now] = fail[p]; while (s[n - len[fail[now]] - 1] != s[n]) fail[now] = fail[fail[now]]; fail[now] = ch[fail[now]][s[n] - 'a']; ch[p][s[n] - 'a'] = now; if ((len[fail[now]] << 1) == len[now] + len[fail[fail[now]]]) top[now] = top[fail[now]]; else top[now] = fail[now]; } lst = now; } int maintain(int n) { int res = 0; for (int p = lst; p && p != 1; p = top[p]) { int dif = len[p] - len[fail[p]]; g[p] = f[n - len[top[p]] - dif]; if (top[p] != fail[p]) g[p] = (g[p] + g[fail[p]]) % Mod; res = (res + g[p]) % Mod; } return (n & 1) ? 0 : res; } } // namespace PAM char sy[MaxN]; int main() { scanf("%s", sy); int n = strlen(sy); for (int i = 0; (i << 1) < n; ++i) s[2 * i + 1] = sy[i]; for (int i = n - 1; 2 * (n - i) <= n; --i) s[2 * (n - i)] = sy[i]; f[0] = 1; for (int i = 1; i <= n; ++i) { PAM::add(i); f[i] = PAM::maintain(i); } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3fffffff; const int SINF = 0x7fffffff; const long long LINF = 0x3fffffffffffffff; const long long SLINF = 0x7fffffffffffffff; const int MAXN = 1000007; const int MOD = 1e9 + 7; struct sT { sT() : s(0), d(0), k(0) {} sT(int _s, int _d, int _k) : s(_s), d(_d), k(_k) {} int s, d, k; }; int n; char os[MAXN], s[MAXN]; int dp[MAXN], gpl[MAXN]; vector<sT> g, g1; void init(); void input(); void work(); int add(int x, int y) { x += y; if (x >= MOD) x -= MOD; return x; } void addv(int &x, int y) { x += y; if (x >= MOD) x -= MOD; } int main() { init(); input(); work(); } void init() { ios::sync_with_stdio(false); } void input() { scanf("%s", os); } void work() { n = strlen(os); int ttk = 0; for (int i = 0; i < n >> 1; ++i) s[++ttk] = os[i], s[++ttk] = os[n - i - 1]; dp[0] = 1; int pre, size, cv; for (int i = 1; i <= n; ++i) { g1.clear(); pre = -i; for (auto &x : g) { if (x.s > 1 && s[x.s - 1] == s[i]) { if ((x.s - 1 - pre) ^ x.d) { g1.push_back(sT(x.s - 1, x.s - 1 - pre, 1)); if (x.k > 1) g1.push_back(sT(x.s - 1 + x.d, x.d, x.k - 1)); } else g1.push_back(sT(x.s - 1, x.d, x.k)); pre = g1.back().s + g1.back().d * (g1.back().k - 1); } } if (i > 1 && s[i] == s[i - 1]) g1.push_back(sT(i - 1, i - 1 - pre, 1)); g.clear(); if (!g1.empty()) { g.push_back(g1.front()); size = g1.size(); for (int i = 1; i < size; ++i) { if (g1[i].d == g.back().d) g.back().k += g1[i].k; else g.push_back(g1[i]); } } dp[i] = 0; for (auto x : g) { cv = dp[x.s + x.d * (x.k - 1) - 1]; if (x.k > 1) addv(cv, gpl[x.s - x.d]); if (x.s - x.d >= 0) gpl[x.s - x.d] = cv; addv(dp[i], cv); } } printf("%d\n", dp[n]); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000005; namespace eertree { int nxt[MAXN][26]; int par[MAXN], len[MAXN], slink[MAXN], ptr[MAXN], diff[MAXN], series[MAXN], piv; void clear(int n = MAXN) { memset(par, 0, sizeof(int) * n); memset(len, 0, sizeof(int) * n); memset(slink, 0, sizeof(int) * n); memset(nxt, 0, sizeof(int) * 26 * n); piv = 0; } void init(int n, char *a) { par[0] = 0; par[1] = 1; a[0] = -1; len[0] = -1; piv = 1; int cur = 1; for (int i = 1; i <= n; i++) { while (a[i] != a[i - len[cur] - 1]) cur = slink[cur]; if (!nxt[cur][a[i]]) { nxt[cur][a[i]] = ++piv; par[piv] = cur; len[piv] = len[cur] + 2; int lnk = slink[cur]; while (a[i] != a[i - len[lnk] - 1]) { lnk = slink[lnk]; } if (nxt[lnk][a[i]]) lnk = nxt[lnk][a[i]]; if (len[piv] == 1 || lnk == 0) lnk = 1; slink[piv] = lnk; diff[piv] = len[piv] - len[lnk]; if (diff[piv] == diff[lnk]) series[piv] = series[lnk]; else series[piv] = piv; } cur = nxt[cur][a[i]]; ptr[i] = cur; } } int query(int s, int e) { int pos = ptr[e]; while (len[pos] >= e - s + 1) { if (len[pos] % diff[pos] == (e - s + 1) % diff[pos] && len[series[pos]] <= e - s + 1) return true; pos = series[pos]; pos = slink[pos]; } return false; } int add(int x, int y) { return (x + y) % 1000000007; } vector<pair<int, int> > minimum_partition(int n) { vector<pair<int, int> > dp(n + 1); vector<pair<int, int> > series_ans(n + 10); dp[0] = pair<int, int>(0, 1); for (int i = 1; i <= n; i++) { dp[i] = pair<int, int>(0, 0); for (int j = ptr[i]; len[j] > 0;) { int slv = slink[series[j]]; series_ans[j] = dp[i - (len[slv] + diff[j])]; assert(len[slv] + diff[j] != 0); if (diff[j] == diff[slink[j]]) { series_ans[j].first = add(series_ans[j].first, series_ans[slink[j]].first); series_ans[j].second = add(series_ans[j].second, series_ans[slink[j]].second); } auto val = series_ans[j]; dp[i].first = add(dp[i].first, val.second); dp[i].second = add(dp[i].second, val.first); j = slv; } if (i & 1) dp[i] = pair<int, int>(0, 0); } return dp; } } // namespace eertree int n; char str[MAXN]; int main() { scanf("%s", str + 1); n = strlen(str + 1); if (n & 1) { puts("0"); return 0; } string c; for (int i = 1; i <= n / 2; i++) c.push_back(str[i]), c.push_back(str[n + 1 - i]); for (int i = 1; i <= n; i++) str[i] = c[i - 1] - 'a'; eertree::init(n, str); auto x = eertree::minimum_partition(n)[n]; cout << (x.first + x.second) % 1000000007 << endl; }
#include <bits/stdc++.h> using namespace std; template <class T = int> T read() { T x = 0; char ch = 0; bool f = false; while (!isdigit(ch)) f |= (ch = getchar()) == '-'; for (; isdigit(ch); ch = getchar()) x = x * 10 + (ch ^ '0'); return f ? -x : x; } const int MOD = 1e9 + 7; int add(int a, int b) { return a + b < MOD ? a + b : a + b - MOD; } void dadd(int &a, int b) { a = add(a, b); } const int N = 1.1e6; const int C = 26; namespace PAM { struct Node { int fa, ch[C]; int len; int d, sf; int sans; } o[N]; int ns = 0; int ert = ++ns; int ort = ++ns; int last; int ans[N]; void solve(const char *s) { o[ert].fa = ort; o[ort].len = -1; last = ort; ans[0] = 1; int i; for (i = 0; s[i]; i++) { int c = s[i] - 'a'; int l = last; while (l && (o[l].len == i || s[i - o[l].len - 1] != s[i])) l = o[l].fa; if (o[l].ch[c]) last = o[l].ch[c]; else { o[l].ch[c] = ++ns; o[ns].len = o[l].len + 2; l = o[l].fa; while (l && (o[l].len == i || s[i - o[l].len - 1] != s[i])) l = o[l].fa; int f = o[l].ch[c]; if (!f) f = ert; o[ns].fa = f; last = ns; o[ns].d = o[ns].len - o[f].len; o[ns].sf = o[ns].d == o[f].d ? o[f].sf : f; } int &a = ans[i + 1]; a = 0; for (int l = last; o[l].len > 0; l = o[l].sf) { o[l].sans = ans[i + 1 - (o[o[l].sf].len + o[l].d)]; if (o[l].sf != o[l].fa) { dadd(o[l].sans, o[o[l].fa].sans); } if (i % 2 == 1) dadd(a, o[l].sans); } } printf("%d\n", ans[i]); } } // namespace PAM char in[N]; char s[N]; int main() { scanf("%s", in); int n = strlen(in); for (int i = 0; i < (int)(n >> 1); i++) { s[i * 2] = in[i]; s[i * 2 + 1] = in[n - 1 - i]; } PAM::solve(s); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e6 + 7; int MOD = 1e9 + 7; namespace PAM { int scnt, S[MAXN]; int pcnt, last, len[MAXN], fail[MAXN], ch[MAXN][26]; int diff[MAXN], slink[MAXN]; int newnode(int _len) { len[pcnt] = _len; diff[pcnt] = slink[pcnt] = 0; for (int i = 0; i < 26; i++) ch[pcnt][i] = 0; return pcnt++; } inline void init() { S[scnt = 0] = -1; pcnt = 0; newnode(0); newnode(-1); fail[0] = 1; last = 0; } int getfail(int x) { while (S[scnt - len[x] - 1] != S[scnt]) x = fail[x]; return x; } void extend(int c) { S[++scnt] = c; int cur = getfail(last); if (!ch[cur][c]) { int now = newnode(len[cur] + 2); fail[now] = ch[getfail(fail[cur])][c]; ch[cur][c] = now; diff[now] = len[now] - len[fail[now]]; slink[now] = (diff[now] == diff[fail[now]]) ? slink[fail[now]] : fail[now]; } last = ch[cur][c]; } }; // namespace PAM using namespace PAM; int g[MAXN], f[MAXN]; void sol(int i, int cur) { for (; cur; cur = slink[cur]) { g[cur] = f[i - len[slink[cur]] - diff[cur]]; if (slink[cur] != fail[cur]) g[cur] = (g[cur] + g[fail[cur]]) % MOD; if (!(i & 1)) f[i] = (f[i] + g[cur]) % MOD; } } int main() { ios::sync_with_stdio(false); cin.tie(0); string s; cin >> s; int sn = s.size(); init(); f[0] = 1; for (int i = 0; i < sn; i += 2) { extend(s[i >> 1] - 'a'); sol(i + 1, last); extend(s[sn - 1 - (i >> 1)] - 'a'); sol(i + 2, last); } cout << f[sn] << endl; return 0; }
#include <bits/stdc++.h> const int mod = 1e9 + 7; const int MAXN = 1e6 + 5; template <typename _T> void read(_T &x) { x = 0; char s = getchar(); int f = 1; while (s < '0' || '9' < s) { f = 1; if (s == '-') f = -1; s = getchar(); } while ('0' <= s && s <= '9') { x = (x << 3) + (x << 1) + s - '0', s = getchar(); } x *= f; } template <typename _T> void write(_T x) { if (x < 0) { putchar('-'), x = -x; } if (9 < x) { write(x / 10); } putchar(x % 10 + '0'); } int g[MAXN], f[MAXN], slink[MAXN], dif[MAXN]; int ch[MAXN][26], fa[MAXN], len[MAXN]; char Snat[MAXN], S[MAXN]; int N, lst, siz; int main() { scanf("%s", Snat + 1); N = strlen(Snat + 1); for (int i = 1; i <= N >> 1; i++) S[(i << 1) - 1] = Snat[i]; for (int i = (N >> 1) + 1; i <= N; i++) S[(N - i + 1) << 1] = Snat[i]; int x, p, cur; f[0] = 1; fa[0] = ++siz, len[1] = -1; for (int i = 1; i <= N; i++) { x = S[i] - 'a'; while (S[i] ^ S[i - len[lst] - 1]) lst = fa[lst]; if (!ch[lst][x]) { cur = ++siz, p = fa[lst]; len[cur] = len[lst] + 2; while (S[i] ^ S[i - len[p] - 1]) p = fa[p]; fa[cur] = ch[p][x], ch[lst][x] = cur; dif[cur] = len[cur] - len[fa[cur]], slink[cur] = (dif[cur] == dif[fa[cur]]) ? slink[fa[cur]] : fa[cur]; } lst = ch[lst][x]; for (p = lst; p; p = slink[p]) { g[p] = f[i - len[slink[p]] - dif[p]]; if (slink[p] ^ fa[p]) g[p] = (g[p] + g[fa[p]]) % mod; if (!(i & 1)) f[i] = (f[i] + g[p]) % mod; } } write(f[N]), putchar('\n'); return 0; }
#include <bits/stdc++.h> using namespace std; char T[1000010], s[1000010]; int n, tot, fin, ch[1000010][26], fail[1000010], len[1000010], dif[1000010], top[1000010], f[1000010], g[1000010]; int getf(int u, int i) { while (s[i] ^ s[i - len[u] - 1]) u = fail[u]; return u; } int main() { scanf("%s", T + 1), n = strlen(T + 1); if (n & 1) puts("0"), exit(0); for (int i = 1; i <= n / 2; i++) s[i * 2 - 1] = T[i], s[i * 2] = T[n - i + 1]; len[0] = 0, len[1] = -1, fail[0] = 1, fail[1] = 0, tot = 1; f[0] = 1; for (int i = 1; i <= n; i++) { int c = s[i] - 97, p = getf(fin, i); if (!ch[p][c]) { len[++tot] = len[p] + 2; fail[tot] = ch[getf(fail[p], i)][c]; int F = fail[tot]; dif[tot] = len[tot] - len[F]; top[tot] = dif[tot] == dif[F] ? top[F] : F; ch[p][c] = tot; } fin = ch[p][c]; int t = fin; while (t) { g[t] = f[i - len[top[t]] - dif[t]]; if (top[t] ^ fail[t]) (g[t] += g[fail[t]]) %= 1000000007; if (i % 2 == 0) (f[i] += g[t]) %= 1000000007; t = top[t]; } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, od, ev, c, ls, nx[1000010][26], sm[1000010], f[1000010], len[1000010], fail[1000010], hf[1000010], d[1000010]; char S[1000010], s[1000010]; int nwc(int L) { len[++c] = L + 2; return c; } int find(int x, int w) { for (; x && s[w] != s[w - len[x] - 1]; x = fail[x]) ; return x; } void ins(int w, int c) { int p = find(ls, w); if (nx[p][c]) { ls = nx[p][c]; return; } int nw = nx[p][c] = nwc(len[p]); int x = find(fail[p], w); if (!x) fail[nw] = ev; else fail[nw] = nx[x][c]; d[nw] = len[nw] - len[fail[nw]]; hf[nw] = d[nw] == d[fail[nw]] ? hf[fail[nw]] : fail[nw]; ls = nw; } int main() { scanf("%s", S + 1); n = strlen(S + 1); ls = od = nwc(-3); ev = nwc(-2); fail[ev] = od; for (int i = 1; i <= n; ++i) s[i] = S[i % 2 ? i + 1 >> 1 : n + 1 - (i >> 1)]; f[0] = 1; for (int i = 1; i <= n; ++i) { ins(i, s[i] - 97); for (int u = ls; u > ev; u = hf[u]) { sm[u] = f[i - len[hf[u]] - d[u]]; if (hf[u] ^ fail[u]) sm[u] = (sm[u] + sm[fail[u]]) % 1000000007; if (1 + i & 1) f[i] = (f[i] + sm[u]) % 1000000007; } } printf("%d", f[n]); }
#include <bits/stdc++.h> using namespace std; template <typename T> inline void read(T &x) { T data = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); } while (isdigit(ch)) { data = (data << 3) + (data << 1) + ch - '0'; ch = getchar(); } x = f * data; } template <typename T, typename... Args> inline void read(T &t, Args &...args) { read(t); read(args...); } const int inf = 0x3f3f3f3f; const double eps = 1e-8; const int maxn = 1e6 + 9; const int mod = 1e9 + 7; char st[maxn], t[maxn]; int anc[maxn], dp[maxn], diff[maxn], val[maxn]; namespace PAM { int sz, tot, last; int cnt[maxn], ch[maxn][26], len[maxn], fail[maxn]; char s[maxn]; int newnode(int ln) { sz++; memset(ch[sz], 0, sizeof(ch[sz])); len[sz] = ln; fail[sz] = cnt[sz] = 0; return sz; } void clear() { sz = -1; last = tot = 0; s[tot] = '$'; newnode(0); newnode(-1); fail[0] = 1; } int getfail(int x) { while (s[tot - len[x] - 1] != s[tot]) x = fail[x]; return x; } void insert(char c) { s[++tot] = c; int now = getfail(last); if (!ch[now][c - 'a']) { int x = newnode(len[now] + 2); fail[x] = ch[getfail(fail[now])][c - 'a']; ch[now][c - 'a'] = x; diff[x] = len[x] - len[fail[x]]; anc[x] = (diff[x] == diff[fail[x]] ? anc[fail[x]] : fail[x]); } last = ch[now][c - 'a']; cnt[last]++; } }; // namespace PAM using namespace PAM; signed main() { scanf("%s", st + 1); int n = strlen(st + 1), l = 1, r = n; for (int i = 1; i <= n; ++i) { if (i & 1) t[i] = st[l++]; else t[i] = st[r--]; } clear(); dp[0] = 1; for (int i = 1; i <= n; ++i) { insert(t[i]); for (int j = last; j; j = anc[j]) { if (anc[j] != fail[j]) val[j] = val[fail[j]]; else val[j] = 0; int k = i - len[anc[j]] - diff[j]; val[j] = (val[j] + dp[k]) % mod; if (i % 2 == 0) dp[i] = (dp[i] + val[j]) % mod; } } printf("%d\n", dp[n]); return 0; }
#include <bits/stdc++.h> using namespace std; int pct(int x) { return __builtin_popcount(x); } int pct(long long x) { return __builtin_popcountll(x); } int bt(int x) { return 31 - __builtin_clz(x); } int bt(long long x) { return 63 - __builtin_clzll(x); } int cdiv(int a, int b) { return a / b + !(a < 0 || a % b == 0); } long long cdiv(long long a, long long b) { return a / b + !(a < 0 || a % b == 0); } int nxt_C(int x) { int c = x & -x, r = x + c; return (((r ^ x) >> 2) / c) | r; } long long nxt_C(long long x) { long long c = x & -x, r = x + c; return (((r ^ x) >> 2) / c) | r; } vector<int> get_bits(int mask) { vector<int> bb; while (mask) { int b = bt(mask); bb.push_back(b); mask ^= (1 << b); } reverse(bb.begin(), bb.end()); return bb; } int get_mask(vector<int> v) { int mask = 0; for (int x : v) { mask ^= (1 << x); } return mask; } template <typename T> void uniq(vector<T> &v) { sort(v.begin(), v.end()); v.resize(unique(v.begin(), v.end()) - v.begin()); } mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); long long rand(long long l, long long r) { uniform_int_distribution<long long> uid(l, r); return uid(rng); } void sc() {} template <typename Head, typename... Tail> void sc(Head &H, Tail &...T) { cin >> H; sc(T...); } const int mod = 1e9 + 7; int pwr(int a, long long b) { int ans = 1; while (b) { if (b & 1) ans = (ans * 1LL * a) % mod; a = (a * 1LL * a) % mod; b >>= 1; } return ans; } const int maxn = 1e6 + 5, sigma = 26; int len[maxn], link[maxn], to[maxn][sigma]; int slink[maxn], diff[maxn], series_ans[maxn]; int sz, last, n; char s[maxn]; void init() { s[n++] = -1; link[0] = 1; len[1] = -1; sz = 2; } int get_link(int v) { while (s[n - len[v] - 2] != s[n - 1]) v = link[v]; return v; } void add_letter(char c) { s[n++] = c -= 'a'; last = get_link(last); if (!to[last][c]) { len[sz] = len[last] + 2; link[sz] = to[get_link(link[last])][c]; diff[sz] = len[sz] - len[link[sz]]; if (diff[sz] == diff[link[sz]]) slink[sz] = slink[link[sz]]; else slink[sz] = link[sz]; to[last][c] = sz++; } last = to[last][c]; } const int N = 1e6 + 5; int ans[N]; void solve() { init(); string t; cin >> t; string s = ""; for (int i = 0; i <= (int)t.size() / 2 - 1; i++) { s += t[i]; s += t[(int)t.size() - 1 - i]; } int n = s.size(); ans[0] = 1; for (int i = 1; i <= n; i++) { add_letter(s[i - 1]); for (int v = last; len[v] > 0; v = slink[v]) { series_ans[v] = ans[i - (len[slink[v]] + diff[v])]; if (diff[v] == diff[link[v]]) { series_ans[v] += series_ans[link[v]]; series_ans[v] %= mod; } ans[i] += series_ans[v]; ans[i] %= mod; } if (i & 1) ans[i] = 0; } cout << ans[n]; } int main() { ios ::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t = 1; for (int tt = 1; tt <= t; tt++) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9; const long long inf64 = 1e18; const int mod = inf + 7; inline int _sum(int a, int b) { return a + b < mod ? a + b : a + b - mod; } inline int _mul(int a, int b) { return (1ll * a * b) % mod; } inline int _sub(int a, int b) { return a >= b ? a - b : a - b + mod; } inline void _inc(int& x, int y) { if ((x += y) >= mod) { x -= mod; } } inline void _dec(int& x, int y) { if ((x -= y) < 0) { x += mod; } } inline int _binpow(int x, int pw) { int res = 1; int tmp = x; while (pw > 0) { if (pw & 1) { res = _mul(res, tmp); } tmp = _mul(tmp, tmp); pw >>= 1; } return res; } inline int _div(int a, int b) { return _mul(a, _binpow(b, mod - 2)); } void read(string& s) { cin >> s; } void gen(string& s) { mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count()); int n = 2 * (rnd() % 3 + 1); s.resize(n, '?'); for (int i = 0; i < n; i++) { s[i] = rnd() % 5 == 0 ? 'a' : 'b'; } } string join_halfs(string s) { int n = (int)s.size(); string t; for (int i = 0; i < n / 2; i++) { t.push_back(s[i]); t.push_back(s[n - 1 - i]); } return t; } int slow(string s) { s = join_halfs(s); int n = (int)s.size(); s = "#" + s; vector<int> dp(n + 1); dp[0] = 1; cout << s << "\n"; for (int i = 1; i <= n; i++) { for (int j = i; j >= 1; j--) { if ((i - j + 1) % 2) continue; string hlp = s.substr(j, i - j + 1); string rhlp = hlp; reverse(rhlp.begin(), rhlp.end()); if (hlp == rhlp) { _inc(dp[i], dp[j - 1]); } } } return dp[n]; } const int N = 2e6 + 5; struct Node { map<int, int> nxt; int link = -1; int dp[2] = {0, 0}; int slink = -1; int len = 0; int diff = 0; Node() = default; }; Node t[N]; int sz, max_suff; int fast(string s) { { sz = 0; t[sz++] = Node(); t[sz++] = Node(); max_suff = 1; t[0].link = 1; t[1].link = 0; t[0].len = -1; t[1].len = 0; } int n = (int)s.size(); s = "#" + join_halfs(s); vector<int> dp(n + 1); dp[0] = 1; max_suff = 1; for (int i = 1; i <= n; i++) { { while (s[i] != s[i - t[max_suff].len - 1]) { max_suff = t[max_suff].link; } if (!t[max_suff].nxt.count(s[i])) { t[sz++] = Node(); t[sz - 1].len = t[max_suff].len + 2; int next_max_suff = t[max_suff].link; while (s[i] != s[i - t[next_max_suff].len - 1]) { next_max_suff = t[next_max_suff].link; } t[sz - 1].link = t[next_max_suff].nxt.count(s[i]) ? t[next_max_suff].nxt[s[i]] : 1; t[sz - 1].diff = t[sz - 1].len - t[t[sz - 1].link].len; if (t[sz - 1].diff == t[t[sz - 1].link].diff) { t[sz - 1].slink = t[t[sz - 1].link].slink; } else { t[sz - 1].slink = t[sz - 1].link; } t[max_suff].nxt[s[i]] = sz - 1; } max_suff = t[max_suff].nxt[s[i]]; } for (int x = max_suff; t[x].len > 0; x = t[x].slink) { t[x].dp[0] = t[x].dp[1] = 0; { int j = i - t[t[x].slink].len - t[x].diff; t[x].dp[j & 1] = dp[j]; } if (t[x].diff == t[t[x].link].diff) { _inc(t[x].dp[0], t[t[x].link].dp[0]); _inc(t[x].dp[1], t[t[x].link].dp[1]); } _inc(dp[i], t[x].dp[i & 1]); } } return dp[n]; } void WORK() { string s; read(s); cout << fast(s) << "\n"; } void TEST() { while (1) { string s; gen(s); cout << "s = " << s << endl; int sl = slow(s); int fs = fast(s); if (sl == fs) { cout << "OK (" << fs << ")" << endl; } else { cout << "WA" << endl; cout << "exp = " << sl << endl; cout << "fnd = " << fs << endl; break; } } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); WORK(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1000005; const int p = 1e9 + 7; int l, t, num, lst, a[N], len[N], fail[N], dif[N], g[N], f[N], ans[N], tr[N][28]; char s[N]; inline int get_fail(int x, int y) { while (a[x] ^ a[x - len[y] - 1]) y = fail[y]; return y; } inline int inc(int x, int y) { x += y; return x < p ? x : x - p; } int main() { scanf("%s", s + 1), l = strlen(s + 1); if (l & 1) { putchar(48); return 0; } t = l >> 1, len[1] = a[0] = -1, fail[0] = ans[0] = num = 1; for (register int i = 1; i <= t; ++i) a[(i << 1) - 1] = s[i] - 97; for (register int i = l; i > t; --i) a[(l - i + 1) << 1] = s[i] - 97; for (register int i = 1; i <= l; ++i) { int u = a[i], v = get_fail(i, lst); if (!tr[v][u]) { fail[++num] = tr[get_fail(i, fail[v])][u], len[tr[v][u] = num] = len[v] + 2, dif[num] = len[num] - len[fail[num]]; if (dif[num] == dif[fail[num]]) g[num] = g[fail[num]]; else g[num] = fail[num]; } for (register int j = lst = tr[v][u]; j; j = g[j]) { f[j] = ans[i - len[g[j]] - dif[j]]; if (g[j] ^ fail[j]) f[j] = inc(f[j], f[fail[j]]); if (!(i & 1)) ans[i] = inc(ans[i], f[j]); } } printf("%d", ans[l]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 5, MOD = 1e9 + 7, P = 26; inline int add(int a, const int &b) { if ((a += b) >= MOD) a -= MOD; return a; } inline int sub(int a, const int &b) { if ((a -= b) < 0) a += MOD; return a; } inline int mul(const int &a, const int &b) { return 1ll * a * b % MOD; } inline int &inc(int &a, const int &b) { return a = add(a, b); } inline int &dec(int &a, const int &b) { return a = sub(a, b); } inline int &pro(int &a, const int &b) { return a = mul(a, b); } inline int qpow(int a, int b) { int c = 1; for (; b; b >>= 1, pro(a, a)) if (b & 1) pro(c, a); return c; } int n, fa[N], anc[N], len[N], a[N], lst, ptr, ch[N][P], f[N], g[N], dif[N]; char s[N]; inline void init() { fa[0] = fa[1] = lst = ptr = 1; len[1] = -1; anc[0] = 1; } inline void append(int n) { int c = a[n], p = lst; while (a[n - len[p] - 1] ^ a[n]) p = fa[p]; if (!ch[p][c]) { int q = fa[p]; while (a[n - len[q] - 1] ^ a[n]) q = fa[q]; fa[++ptr] = ch[q][c]; ch[p][c] = ptr; len[ptr] = len[p] + 2; dif[ptr] = len[ptr] - len[fa[ptr]]; anc[ptr] = dif[ptr] == dif[fa[ptr]] ? anc[fa[ptr]] : fa[ptr]; } lst = ch[p][c]; } int main() { init(); scanf("%s", s + 1); n = strlen(s + 1); if (n & 1) return puts("0"), 0; for (int i = 1; i <= n; i += 2) a[i] = s[i + 1 >> 1] - 'a'; for (int i = 2; i <= n; i += 2) a[i] = s[n - (i >> 1) + 1] - 'a'; a[0] = -1; f[0] = 1; for (int x = 1; x <= n; x++) { append(x); for (int i = lst; i; i = anc[i]) { g[i] = f[x - len[anc[i]] - dif[i]]; if (fa[i] ^ anc[i]) inc(g[i], g[fa[i]]); if (~x & 1) inc(f[x], g[i]); } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, lst, cnt, f[1001000], g[1001000], h[1001000]; int anc[1001000], fail[1001000]; int diff[1001000], len[1001000]; int nxt[1001000][26]; char s[1001000], A[1001000]; void upd(int& x, int y) { if ((x += y) >= 1000000007) x -= 1000000007; } void append(int n, int w) { int p; for (p = lst; s[n] != s[n - len[p] - 1]; p = fail[p]) ; if (!nxt[p][w]) { int x = ++cnt, k = fail[p]; for (; s[n] != s[n - len[k] - 1]; k = fail[k]) ; len[x] = len[p] + 2; fail[x] = nxt[k][w]; nxt[p][w] = x; diff[x] = len[x] - len[fail[x]]; anc[x] = diff[x] == diff[fail[x]] ? anc[fail[x]] : fail[x]; } lst = nxt[p][w]; } int main() { scanf("%s", A + 1); n = strlen(A + 1); for (int i = 1; i <= n / 2; ++i) { s[i * 2 - 1] = A[i]; s[i * 2] = A[n + 1 - i]; } f[0] = 1; lst = cnt = 1; fail[0] = 1, fail[1] = 0; len[1] = -1; for (int i = 1; i <= n; ++i) { append(i, s[i] - 'a'); for (int x = lst; x; x = anc[x]) { g[x] = f[i - len[anc[x]] - diff[x]]; if (anc[x] != fail[x]) upd(g[x], g[fail[x]]); if (i % 2 == 0) upd(f[i], g[x]); } } printf("%d", f[n]); }
#include <bits/stdc++.h> using namespace std; using std::bitset; const double Pi = acos(-1); namespace fastIO { template <class T> inline void read(T &x) { x = 0; bool fu = 0; char ch = 0; while (ch > '9' || ch < '0') { ch = getchar(); if (ch == '-') fu = 1; } while (ch <= '9' && ch >= '0') x = (x * 10 - 48 + ch), ch = getchar(); if (fu) x = -x; } inline int read() { int x = 0; bool fu = 0; char ch = 0; while (ch > '9' || ch < '0') { ch = getchar(); if (ch == '-') fu = 1; } while (ch <= '9' && ch >= '0') x = (x * 10 - 48 + ch), ch = getchar(); return fu ? -x : x; } char _n_u_m_[40]; template <class T> inline void write(T x) { if (x == 0) { putchar('0'); return; } T tmp = x > 0 ? x : -x; if (x < 0) putchar('-'); register int cnt = 0; while (tmp > 0) { _n_u_m_[cnt++] = tmp % 10 + '0'; tmp /= 10; } while (cnt > 0) putchar(_n_u_m_[--cnt]); } template <class T> inline void write(T x, char ch) { write(x); putchar(ch); } } // namespace fastIO using namespace fastIO; const int MAXN = 1000005; int len[MAXN], ch[MAXN][26], fail[MAXN], cnt, lst, up[MAXN], orz[MAXN]; long long qwq[MAXN], ans[MAXN]; char c[MAXN], ccf[MAXN]; int now, n; inline void insert(int pos) { while (c[pos] != c[pos - len[lst] - 1]) lst = fail[lst]; if (!ch[lst][c[pos] - 97]) { len[++cnt] = len[lst] + 2; register int i = fail[lst]; while (c[pos] != c[pos - len[i] - 1]) i = fail[i]; fail[cnt] = ch[i][c[pos] - 97]; ch[lst][c[pos] - 97] = cnt; orz[cnt] = len[cnt] - len[fail[cnt]]; if (orz[cnt] == orz[fail[cnt]]) up[cnt] = up[fail[cnt]]; else up[cnt] = fail[cnt]; } lst = ch[lst][c[pos] - 97]; } int main() { len[1] = -1; fail[0] = 1; up[0] = 1; ans[0] = 1; cnt = 1; scanf("%s", ccf + 1); n = strlen(ccf + 1); if (n % 2) { cerr << "Fuck CCF!!!" << endl; cout << 0; return 0; } for (register int i = 1, iend = n / 2; i <= iend; ++i) { c[2 * i - 1] = ccf[i]; c[i << 1] = ccf[n - i + 1]; } for (register int i = 1, iend = n; i <= iend; ++i) { insert(i); for (register int j = lst; j; j = up[j]) { qwq[j] = ans[i - len[up[j]] - orz[j]]; if (up[j] != fail[j]) qwq[j] += qwq[fail[j]]; qwq[j] %= 1000000007ll; if (!(i & 1)) ans[i] += qwq[j], ans[i] %= 1000000007ll; } } cout << ans[n]; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = (int)1e9 + 7; struct PAM { static const int N = (int)1e6 + 50; int s[N], now; int nxt[N][26], fail[N], l[N], last, tot; int diff[N], anc[N]; int ans[N], dp[N]; void clear() { s[0] = l[1] = -1; fail[0] = tot = now = 1; last = l[0] = 0; memset(nxt[0], 0, sizeof nxt[0]); memset(nxt[1], 0, sizeof nxt[1]); } PAM() { clear(); } int newnode(int len) { tot++; memset(nxt[tot], 0, sizeof nxt[tot]); fail[tot] = 0; l[tot] = len; return tot; } int get_fail(int x) { while (s[now - l[x] - 2] != s[now - 1]) x = fail[x]; return x; } void add(int ch) { s[now++] = ch; int cur = get_fail(last); if (!nxt[cur][ch]) { int tt = newnode(l[cur] + 2); fail[tt] = nxt[get_fail(fail[cur])][ch]; nxt[cur][ch] = tt; diff[tt] = l[tt] - l[fail[tt]]; anc[tt] = diff[tt] == diff[fail[tt]] ? anc[fail[tt]] : fail[tt]; } last = nxt[cur][ch]; } void trans(int i) { for (int p = last; p > 1; p = anc[p]) { dp[p] = ans[i - l[anc[p]] - diff[p]]; if (diff[p] == diff[fail[p]]) { (dp[p] += dp[fail[p]]) %= mod; } (ans[i] += (i % 2 == 0) * dp[p]) %= mod; } } } pam; int n; string s1, s2; int main() { ios::sync_with_stdio(false); cin.tie(NULL); cin >> s1; n = s1.length(); for (int i = 0; i < n / 2; i++) { s2.push_back(s1[i]); s2.push_back(s1[n - 1 - i]); } pam.ans[0] = 1; s2 = " " + s2; for (int i = 1; i <= n; i++) { pam.add(s2[i] - 'a'); pam.trans(i); } cout << pam.ans[n] << endl; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const int inf = 1 << 30; const int maxn = 1000000 + 5; inline int add(int x, int y) { x += y; return x >= mod ? x -= mod : x; } namespace pam { int sz, tot, last; int ch[maxn][26], len[maxn], fail[maxn]; int cnt[maxn], dep[maxn], dif[maxn], slink[maxn]; char s[maxn]; int node(int l) { sz++; memset(ch[sz], 0, sizeof(ch[sz])); len[sz] = l; fail[sz] = 0; cnt[sz] = dep[sz] = 0; return sz; } void clear() { sz = -1; last = 0; s[tot = 0] = '$'; node(0); node(-1); fail[0] = 1; } int getfail(int x) { while (s[tot - len[x] - 1] != s[tot]) x = fail[x]; return x; } void insert(char c) { s[++tot] = c; int now = getfail(last); if (!ch[now][c - 'a']) { int x = node(len[now] + 2); fail[x] = ch[getfail(fail[now])][c - 'a']; dep[x] = dep[fail[x]] + 1; ch[now][c - 'a'] = x; dif[x] = len[x] - len[fail[x]]; if (dif[x] == dif[fail[x]]) slink[x] = slink[fail[x]]; else slink[x] = fail[x]; } last = ch[now][c - 'a']; cnt[last]++; } } // namespace pam using pam::dif; using pam::fail; using pam::len; using pam::slink; int n, dp[maxn], g[maxn]; char s[maxn], t[maxn]; int main() { pam::clear(); scanf("%s", s + 1); n = strlen(s + 1); for (int i = 1, j = 0; i <= n; i++) t[++j] = s[i], t[++j] = s[n - i + 1]; dp[0] = 1; for (int i = 1; i <= n; i++) { pam::insert(t[i]); int c = 0; for (int x = pam::last; x > 1; x = slink[x]) { c++; g[x] = dp[i - len[slink[x]] - dif[x]]; if (dif[x] == dif[fail[x]]) g[x] = add(g[x], g[fail[x]]); if (i % 2 == 0) dp[i] = add(dp[i], g[x]); } assert(c <= 19); } printf("%d", dp[n]); return 0; }
#include <bits/stdc++.h> const int maxn = 1e6 + 7; const long long mod = 1e9 + 7; using namespace std; char str[maxn], s[maxn]; int n, cnt; long long f[maxn], g[maxn]; struct node { int fail, len, last, delta; int son[26]; } t[maxn]; void build() { cnt = 1; t[0].fail = 1; t[0].len = 0; t[1].fail = 0; t[1].len = -1; int now = 1; for (int i = 1; i <= n; i++) { while (s[i] != s[i - t[now].len - 1]) now = t[now].fail; if (!t[now].son[s[i] - 'a']) { cnt++; int k = t[now].fail; while (s[i] != s[i - t[k].len - 1]) k = t[k].fail; t[cnt].fail = t[k].son[s[i] - 'a']; t[now].son[s[i] - 'a'] = cnt; t[cnt].len = t[now].len + 2; t[cnt].delta = t[cnt].len - t[t[cnt].fail].len; if (t[cnt].delta == t[t[cnt].fail].delta) t[cnt].last = t[t[cnt].fail].last; else t[cnt].last = cnt; } now = t[now].son[s[i] - 'a']; for (int j = now; j > 0; j = t[t[j].last].fail) { g[j] = f[i - t[t[j].last].len]; if (t[j].last != j) g[j] = (g[j] + g[t[j].fail]) % mod; if (i % 2 == 0) f[i] = (f[i] + g[j]) % mod; } } } int main() { scanf("%s", str); n = strlen(str); int num = 0; for (int i = 1; i <= n; i += 2) s[i] = str[num++]; num = n - 1; for (int i = 2; i <= n; i += 2) s[i] = str[num--]; f[0] = 1; build(); printf("%lld", f[n]); }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; long long L, pos, newp = 1, now, last; long long g[1000002], dp[1000002]; char s[1000002], t[1000002]; struct Node { int fail, len, cnt, diff, slink; int ch[26]; } pam[1000005]; int GetFail(int p) { while (t[pos] != t[pos - 1 - pam[p].len]) p = pam[p].fail; return p; } void Insert(char c) { int x = c - 'a', f; now = GetFail(last); if (!pam[now].ch[x]) { pam[++newp].len = pam[now].len + 2; f = pam[newp].fail = pam[GetFail(pam[now].fail)].ch[x]; pam[now].ch[x] = newp; pam[newp].diff = pam[newp].len - pam[f].len; if (pam[newp].diff == pam[f].diff) pam[newp].slink = pam[f].slink; else pam[newp].slink = f; } ++pam[last = pam[now].ch[x]].cnt; } int main() { scanf("%s", s + 1); L = strlen(s + 1); for (int i = 1, j = 0; j < L; ++i) t[++j] = s[i], t[++j] = s[L - i + 1]; pam[0].fail = pam[1].fail = 1, pam[1].len = -1, dp[0] = 1; for (pos = 1; pos <= L; ++pos) { Insert(t[pos]); for (int x = last; x > 1; x = pam[x].slink) { g[x] = dp[pos - pam[pam[x].slink].len - pam[x].diff]; if (pam[x].diff == pam[pam[x].fail].diff) g[x] = (g[x] + g[pam[x].fail]) % MOD; if (pos % 2 == 0) dp[pos] = (dp[pos] + g[x]) % MOD; } } printf("%lld\n", dp[L]); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize(2) using namespace std; inline int read() { register int x = 0, t = 1; register char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') t = -1, ch = getchar(); while (ch <= '9' && ch >= '0') x = x * 10 + ch - 48, ch = getchar(); return x * t; } char ch[1000100], s[1000100]; int n, anc[1000100], diff[1000100]; int ans[1000100], f[1000100]; struct Palindromic_Tree { struct Node { int son[26]; int ff, len; } t[1000100]; int last, tot; void init() { t[tot = 1].len = -1; t[0].ff = t[1].ff = 1; anc[0] = 1; } void extend(int c, int n, char *s) { int p = last; while (s[n - t[p].len - 1] != s[n]) p = t[p].ff; if (!t[p].son[c]) { int v = ++tot, k = t[p].ff; t[v].len = t[p].len + 2; while (s[n - t[k].len - 1] != s[n]) k = t[k].ff; t[v].ff = t[k].son[c]; t[p].son[c] = v; diff[v] = t[v].len - t[t[v].ff].len; anc[v] = (diff[v] == diff[t[v].ff]) ? anc[t[v].ff] : t[v].ff; } last = t[p].son[c]; } } PT; int main() { PT.init(); scanf("%s", ch + 1); n = strlen(ch + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i <= n; i += 2) s[i] = ch[(i + 1) / 2]; reverse(&ch[1], &ch[n + 1]); for (int i = 2; i <= n; i += 2) s[i] = ch[(i + 1) / 2]; ans[0] = 1; for (int i = 1; i <= n; ++i) { PT.extend(s[i] - 97, i, s); for (int k = PT.last; k; k = anc[k]) { f[k] = ans[i - PT.t[anc[k]].len - diff[k]]; if (anc[k] != PT.t[k].ff) f[k] = (f[k] + f[PT.t[k].ff]) % 1000000007; if (!(i & 1)) ans[i] = (ans[i] + f[k]) % 1000000007; } } printf("%d\n", ans[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1000005; const int MOD = 1000000007; int n, last, sz, len[N], fail[N], ch[N][26], id[N], f[N], diff[N], nxt[N], g[N]; char str[N], s[N]; int extend(int x, int n) { int p = last; while (s[n - len[p] - 1] != s[n]) p = fail[p]; if (!ch[p][x]) { int now = ++sz, k = fail[p]; len[now] = len[p] + 2; while (s[n - len[k] - 1] != s[n]) k = fail[k]; fail[now] = ch[k][x]; ch[p][x] = now; diff[now] = len[now] - len[fail[now]]; if (diff[now] == diff[fail[now]]) nxt[now] = nxt[fail[now]]; else nxt[now] = fail[now]; } last = ch[p][x]; return last; } int main() { scanf("%s", str + 1); n = strlen(str + 1); int now = 0; for (int i = 1; i <= n; i += 2) s[i] = str[++now]; now = n + 1; for (int i = 2; i <= n; i += 2) s[i] = str[--now]; fail[0] = 1; len[1] = -1; sz = 1; for (int i = 1; i <= n; i++) id[i] = extend(s[i] - 'a', i); f[0] = 1; for (int i = 1; i <= n; i++) for (int p = id[i]; p; p = nxt[p]) { g[p] = f[i - (len[nxt[p]] + diff[p])]; if (diff[p] == diff[fail[p]]) (g[p] += g[fail[p]]) %= MOD; if (!(i & 1)) (f[i] += g[p]) %= MOD; } printf("%d", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; int const mod = 1e9 + 7; int const MAXN = 1e6 + 5; char s[MAXN], t[MAXN]; int child[MAXN << 1][26], parent[MAXN << 1], mxlen[MAXN << 1], cnt = 2, last = 1; int d[MAXN << 1], bot[MAXN << 1]; int f[MAXN], g[MAXN << 1]; int GetFail(int now, int pos) { while (now && s[pos] != s[pos - mxlen[now] - 1]) now = parent[now]; return now; } int main() { cin >> (t + 1); int n = strlen(t + 1); for (register int i = 1; i <= n; ++i) s[i] = (i & 1) ? t[i / 2 + 1] : t[n - i / 2 + 1]; parent[1] = 2; mxlen[1] = 0, mxlen[2] = -1; for (register int i = 0; i < 26; ++i) child[0][i] = 1; f[0] = 1; for (register int i = 1; i <= n; ++i) { int ch = s[i] - 'a'; last = GetFail(last, i); if (child[last][ch]) last = child[last][ch]; else { ++cnt; child[last][ch] = cnt; mxlen[cnt] = mxlen[last] + 2; parent[cnt] = child[GetFail(parent[last], i)][ch]; last = cnt; if (parent[cnt] > 2 && mxlen[parent[cnt]] * 2 > mxlen[cnt] && (!d[parent[cnt]] || mxlen[cnt] - mxlen[parent[cnt]] == d[parent[cnt]])) { d[cnt] = mxlen[cnt] - mxlen[parent[cnt]], bot[cnt] = bot[parent[cnt]]; d[parent[cnt]] = mxlen[cnt] - mxlen[parent[cnt]]; } else d[cnt] = 0, bot[cnt] = cnt; } for (register int cur = last; cur; cur = parent[bot[cur]]) { if (bot[cur] != cur) g[cur] = g[parent[cur]]; else g[cur] = 0; if (mxlen[bot[cur]] % 2 == 0 && mxlen[bot[cur]]) g[cur] = (g[cur] + f[i - mxlen[bot[cur]]]) % mod; if (i % 2 == 0) f[i] = (f[i] + g[cur]) % mod; } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using vi = vector<int>; using vll = vector<ll>; using pii = pair<int, int>; using vvi = vector<vi>; using vii = vector<pii>; string s; bool read() { if (!(cin >> s)) { return 0; } return 1; } const int mod = (int)1e9 + 7; void add(int &a, int b) { a += b; if (a >= mod) a -= mod; } void sub(int &a, int b) { a -= b; if (a < 0) a += mod; } void kill(vi &v) { v.clear(); v.shrink_to_fit(); } struct gap_jumper { string s; vi value; int n; gap_jumper(string s_, int n_) { n = n_; value.resize(n + 1); s = s_; assert(int((s).size()) == 2 * n); } vi d_was; vvi next_, prev_, sum_; int get_id(int step) { int pos = find((d_was).begin(), (d_was).end(), step) - d_was.begin(); if (pos != int((d_was).size())) return pos; d_was.push_back(step); next_.push_back(vi(2 * n)), prev_.push_back(vi(2 * n)), sum_.push_back(vi()); sum_.back().reserve(n); vi &next = next_.back(); vi &prev = prev_.back(); for (int i = int(2 * n) - 1; i >= 0; --i) { if (i + step >= 2 * n) next[i] = 1; else next[i] = (s[i] != s[i + step] ? 1 : next[i + step] + 1); } for (int i = 0; i < int(2 * n); ++i) { if (i < step) prev[i] = 1; else prev[i] = (s[i] != s[i - step] ? 1 : prev[i - step] + 1); } return pos; } int first_left(int pos, int step, char what) { const int id = get_id(step); const vi &prev = prev_[id]; if (what != s[pos]) return 0; return prev[pos]; } int first_right(int pos, int step, char what) { const int id = get_id(step); const vi &next = next_[id]; if (what != s[pos]) return 0; return next[pos]; } int sum(int pos, int step, int len) { const int id = get_id(step); vi &sum = sum_[id]; int to = pos + step * (len - 1); assert(0 <= pos && pos <= to && to < int((value).size())); while (int((sum).size()) <= to) { const int cur_id = int((sum).size()); sum.push_back(value[cur_id]); if (cur_id >= step) add(sum.back(), sum[cur_id - step]); } int res = sum[to]; if (pos - step >= 0) sub(res, sum[pos - step]); return res; } void purge(const vi &allowed) { vi to_del; for (int i = 0; i < int(int((d_was).size())); ++i) { const int id = d_was[i]; if (!binary_search((allowed).begin(), (allowed).end(), id)) to_del.push_back(i); } reverse((to_del).begin(), (to_del).end()); for (int id : to_del) { d_was[id] = -1; kill(sum_[id]); kill(prev_[id]); kill(next_[id]); } } }; struct prog { int start, diff, len; int get(int id) const { return start + diff * id; } int get_end() const { return start + diff * (len - 1); } }; void relax(vector<prog> &v) { vector<prog> nv; for (const auto &pr : v) { if (pr.len == 0) continue; if (nv.empty()) nv.push_back(pr); else { auto &top = nv.back(); if (top.len == 1 && pr.len == 1) top = prog{top.start, pr.start - top.start, 2}; else if (top.len == 1 && pr.start - top.start == pr.diff) { top = prog{top.start, pr.diff, pr.len + 1}; } else if (pr.len == 1 && pr.start - top.get_end() == top.diff) { top.len++; } else if (pr.diff == top.diff && pr.start - top.get_end() == top.diff) { top.len += pr.len; } else { nv.push_back(pr); } } } v.swap(nv); } void incr_all(vector<prog> &v, int delta) { for (auto &pr : v) pr.start += delta; } void add_start(vector<prog> &v, int num) { assert(v.empty() || num < v.front().start); v.insert(v.begin(), prog{num, 1, 1}); } void del(vector<prog> &v, const vi &who) { int ptr = 0; vector<prog> nv; for (const auto &pr : v) { int last_alive = 0; while (ptr < int((who).size()) && pr.start <= who[ptr] && who[ptr] <= pr.get_end()) { assert((who[ptr] - pr.start) % pr.diff == 0); int cur_id = (who[ptr] - pr.start) / pr.diff; if (last_alive < cur_id) nv.push_back(prog{pr.get(last_alive), pr.diff, cur_id - last_alive}); assert(last_alive <= cur_id); last_alive = cur_id + 1; ptr++; } const int total = pr.len; if (last_alive < total) nv.push_back(prog{pr.get(last_alive), pr.diff, total - last_alive}); } v.swap(nv); relax(v); } void print(const vector<prog> &v) { for (const auto &pr : v) { for (int i = 0; i < int(pr.len); ++i) ; ; }; ; } double time() { return (double)clock() / CLOCKS_PER_SEC; } int work_old() { const int n = int((s).size()) / 2; assert(int((s).size()) == 2 * n); vi dp(n + 1); dp[0] = 1; vi pref; for (int len = 0; len < int(n + 1); ++len) if (len) { if (int((pref).size()) >= 50) return -1; const int l = n - len, r = n + len; vi npref; for (int i : pref) { if (s[l] == s[r - i - 2] && s[l + i + 1] == s[r - 1] && i + 2 <= len) npref.push_back(i + 2); } if (s[l] == s[r - 1]) npref.push_back(1); if (len >= 2 && s[l] == s[r - 2] && s[l + 1] == s[r - 1]) npref.push_back(2); pref = npref; for (int i : pref) add(dp[len], dp[len - i]); } return dp[n]; } void solve() { const int n = int((s).size()) / 2; assert(int((s).size()) == 2 * n); int ans = work_old(); if (ans != -1) { cout << ans << endl; return; } gap_jumper info(s, n); vi dp(n + 1); dp[0] = 1; info.value[0] = 1; vector<prog> pref; for (int len = 0; len < int(n + 1); ++len) if (len) { const int l = n - len, r = n + len; vi to_del; for (const auto &pr : pref) { for (int i = 0; i < pr.len;) { int cur = pr.get(i); const int left_steps = info.first_left(r - cur - 2, pr.diff, s[l]); const int right_steps = info.first_right(l + cur + 1, pr.diff, s[r - 1]); const int steps = min(left_steps, right_steps); i += steps; if (i >= pr.len) break; cur = pr.get(i); assert(!(s[l] == s[r - cur - 2] && s[l + cur + 1] == s[r - 1])); to_del.push_back(cur); i++; } } if (!pref.empty() && pref.back().get_end() == len - 1 && !count((to_del).begin(), (to_del).end(), len - 1)) to_del.push_back(len - 1); del(pref, to_del); incr_all(pref, 2); if (len >= 2 && s[l] == s[r - 2] && s[l + 1] == s[r - 1]) add_start(pref, 2); if (s[l] == s[r - 1]) add_start(pref, 1); relax(pref); assert(int((pref).size()) <= 20); for (const auto &pr : pref) { int start = len - pr.get_end(); int cur_sum = info.sum(start, pr.diff, pr.len); add(dp[len], cur_sum); } vi allowed; for (const auto &pr : pref) allowed.push_back(pr.diff); sort((allowed).begin(), (allowed).end()); allowed.resize(unique((allowed).begin(), (allowed).end()) - allowed.begin()); info.value[len] = dp[len]; } cout << dp[n] << endl; } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); while (read()) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 5, S = 26, P = 1e9 + 7; inline void pls(int &a, int b) { a += b; if (a >= P) a -= P; } char s0[N], s[N]; int st, t, nxt[N][S], l[N], fa[N], lk[N], df[N], g[N], f[N]; void init() { st = 1; t = 1; l[1] = -1; fa[0] = 1; } void insert(int n) { int c = s[n] - 'a', p, f; for (p = st; s[n - l[p] - 1] != s[n]; p = fa[p]) ; f = p; if (!nxt[f][c]) { for (p = fa[f]; s[n - l[p] - 1] != s[n]; p = fa[p]) ; fa[++t] = nxt[p][c]; nxt[f][c] = t; l[t] = l[f] + 2; df[t] = l[t] - l[fa[t]]; lk[t] = df[t] == df[fa[t]] ? lk[fa[t]] : fa[t]; } st = nxt[f][c]; } int main() { init(); scanf("%s", s0 + 1); int n = strlen(s0 + 1); for (register int i = 1, j = 0; i << 1 <= n; i++) s[++j] = s0[i], s[++j] = s0[n - i + 1]; f[0] = 1; for (register int i = 1; i <= n; i++) { insert(i); for (register int p = st; p; p = lk[p]) { g[p] = f[i - df[p] - l[lk[p]]]; if (lk[p] != fa[p]) pls(g[p], g[fa[p]]); if (i & 1 ^ 1) pls(f[i], g[p]); } } printf("%d", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { char ch = getchar(); int w = 1, c = 0; for (; !isdigit(ch); ch = getchar()) if (ch == '-') w = -1; for (; isdigit(ch); ch = getchar()) c = (c << 1) + (c << 3) + (ch ^ 48); return w * c; } const int M = 1e6 + 10, mod = 1e9 + 7; char s[M], hry[M]; int n, fa[M], len[M], tot, lst, del[M], slink[M], t[M][26]; void init() { fa[1] = fa[0] = 1; len[1] = -1; tot = 1; lst = 1; } int gt(int x, int id) { for (; hry[id] ^ hry[id - len[x] - 1]; x = fa[x]) ; return x; } void extend(int id) { int p = gt(lst, id), o = hry[id] - 'a'; if (!t[p][o]) { int np = ++tot; fa[np] = t[gt(fa[p], id)][o]; t[p][o] = np; len[np] = len[p] + 2; del[np] = len[np] - len[fa[np]]; if (del[np] != del[fa[np]]) slink[np] = fa[np]; else slink[np] = slink[fa[np]]; } lst = t[p][o]; } long long ans[M], f[M]; int main() { scanf("%s", s + 1); n = strlen(s + 1); if (n & 1) { cout << 0 << "\n"; return 0; } int o = 0; for (int i = (1); i <= (n / 2); ++i) { hry[++o] = s[i]; hry[++o] = s[n - i + 1]; } init(); ans[0] = 1; for (int i = (1); i <= (n); ++i) { extend(i); for (int x = lst; x; x = slink[x]) { f[x] = ans[i - len[slink[x]] - del[x]]; if (del[x] == del[fa[x]]) f[x] = (f[x] + f[fa[x]]) % mod; if (i % 2 == 0) ans[i] = (ans[i] + f[x]) % mod; } } cout << ans[n] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; namespace prom { int read() { char a = getchar(); int res = 0; int f = 1; while (a < '0' || a > '9') { if (a == '-') f = -1; a = getchar(); } while (a >= '0' && a <= '9') res = res * 10 + a - '0', a = getchar(); return res * f; } const int p = 1000000007; const int Maxn = 1000005; void upd(int& x, int y) { x = (x + y) % p; } struct TR { int son[26]; int len, diff; int slink, fail; } tr[Maxn]; int tot, last, n; int newTR(int len) { int ro = ++tot; tr[ro] = TR(); tr[ro].len = len; return ro; } int S[Maxn]; void Init() { tot = -1; last = n = 0; newTR(0); newTR(-1); tr[0].fail = 1; S[0] = -1; } int getfail(int x) { while (S[n] != S[n - tr[x].len - 1]) x = tr[x].fail; return x; } void ins(int a) { S[++n] = a; int p = getfail(last); if (!tr[p].son[a]) { int np = newTR(tr[p].len + 2); int fail = tr[getfail(tr[p].fail)].son[a]; tr[np].fail = fail; tr[np].diff = tr[np].len - tr[fail].len; tr[np].slink = (tr[np].diff == tr[fail].diff) ? tr[fail].slink : fail; tr[p].son[a] = np; } last = tr[p].son[a]; } char s[Maxn], T[Maxn]; int dp[Maxn], sr_g[Maxn]; int main() { scanf("%s", s + 1); int n = strlen(s + 1); for (int i = 1; i * 2 <= n; i++) T[i * 2 - 1] = s[i], T[i * 2] = s[n - i + 1]; dp[0] = 1; Init(); for (int i = 1; i <= n; i++) { ins(T[i] - 'a'); for (int j = last; tr[j].len > 0; j = tr[j].slink) { sr_g[j] = dp[i - (tr[tr[j].slink].len + tr[j].diff)]; if (tr[j].diff == tr[tr[j].fail].diff) upd(sr_g[j], sr_g[tr[j].fail]); upd(dp[i], sr_g[j]); } if (i & 1) dp[i] = 0; } printf("%d\n", dp[n]); return 0; } } // namespace prom int main() { return prom::main(); }
#include <bits/stdc++.h> using namespace std; struct PalindromicTree { struct node { int nxt[30], len, st, en, link, diff, slink, cnt, oc; }; string s; vector<node> t; int sz, last; PalindromicTree() {} PalindromicTree(string _s) { s = _s; int n = s.size(); t.clear(); t.resize(n + 9); sz = 2, last = 2; t[1].len = -1, t[1].link = 1; t[1].diff = t[2].diff = 0; t[2].len = 0, t[2].link = 1; t[1].slink = 1; t[2].slink = 2; } int extend(int pos) { int cur = last, curlen = 0; int ch = s[pos] - 'a'; while (1) { curlen = t[cur].len; if (pos - 1 - curlen >= 0 && s[pos - 1 - curlen] == s[pos]) break; cur = t[cur].link; } if (t[cur].nxt[ch]) { last = t[cur].nxt[ch]; t[last].oc++; return 0; } sz++; last = sz; t[sz].oc = 1; t[sz].len = t[cur].len + 2; t[cur].nxt[ch] = sz; t[sz].en = pos; t[sz].st = pos - t[sz].len + 1; if (t[sz].len == 1) { t[sz].link = 2; t[sz].cnt = 1; t[sz].diff = 1; t[sz].slink = 2; return 1; } while (1) { cur = t[cur].link; curlen = t[cur].len; if (pos - 1 - curlen >= 0 && s[pos - 1 - curlen] == s[pos]) { t[sz].link = t[cur].nxt[ch]; break; } } t[sz].cnt = 1 + t[t[sz].link].cnt; t[sz].diff = t[sz].len - t[t[sz].link].len; if (t[sz].diff == t[t[sz].link].diff) t[sz].slink = t[t[sz].link].slink; else t[sz].slink = t[sz].link; return 1; } void calc_orrurrences() { for (int i = sz; i >= 3; i--) t[t[i].link].oc += t[i].oc; } }; int dp[4000005], series_ans[4000005], par[4000005]; void solve() { string s, t, st; int n; cin >> s; n = s.size(); for (int i = 0; i < n / 2; i++) { st.push_back(s[i]); st.push_back(s[n - i - 1]); } PalindromicTree pal(st); dp[0] = 1; for (int i = 1; i <= st.size(); i++) { dp[i] = 0; pal.extend(i - 1); for (int v = pal.last; pal.t[v].len > 0; v = pal.t[v].slink) { series_ans[v] = dp[i - pal.t[pal.t[v].slink].len - pal.t[v].diff]; if (pal.t[v].diff == pal.t[pal.t[v].link].diff) { if (pal.t[v].diff == pal.t[pal.t[v].link].diff) series_ans[v] = (series_ans[v] + series_ans[pal.t[v].link]) % 1000000007; } } if (i % 2 == 0) for (int v = pal.last; pal.t[v].len > 0; v = pal.t[v].slink) { dp[i] = (dp[i] + series_ans[v]) % 1000000007; } } cout << dp[st.size()] << endl; int i = st.size(); } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); int t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> template <class T> inline bool cmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } template <class T> inline bool cmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; } using namespace std; const int N = 1e6 + 5, P = 1e9 + 7; typedef int arr[N]; struct PAM { int n, T, las, ch[N][26]; char s[N]; arr fa, len, gp, d; inline void init() { las = n = 0; T = fa[0] = 1, s[0] = len[1] = -1; } inline int gf(int x) { while (s[n - len[x] - 1] ^ s[n]) x = fa[x]; return x; } inline void ins(int v) { s[++n] = v; las = gf(las); if (!ch[las][v]) { fa[++T] = ch[gf(fa[las])][v], len[T] = len[las] + 2; d[T] = len[T] - len[fa[T]]; ch[las][v] = T; gp[T] = d[T] == d[fa[T]] ? gp[fa[T]] : fa[T]; } las = ch[las][v]; } } p; int n; arr f, g; char s[N], ch[N]; inline int add(int a, int b) { return a += b, a >= P ? a - P : a; } int main() { scanf("%s", s + 1); n = strlen(s + 1); f[0] = 1; if (n & 1) return puts("0"), 0; p.init(); for (int i = 1; i <= n; i += 2) ch[i] = s[(i >> 1) + 1]; for (int i = 2; i <= n; i += 2) ch[i] = s[n - (i >> 1) + 1]; for (register int i = 1, I = n + 1; i < I; ++i) { p.ins(ch[i] - 'a'); for (int j = p.las; j; j = p.gp[j]) { g[j] = f[i - p.len[p.gp[j]] - p.d[j]]; if (p.gp[j] ^ p.fa[j]) g[j] = add(g[j], g[p.fa[j]]); if (~i & 1) f[i] = add(f[i], g[j]); } } printf("%d", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const long long lnf = 0x3f3f3f3f3f3f3f3f; const double dnf = 1e18; const int mod = 1e9 + 7; const double eps = 1e-5; const double pi = acos(-1.0); const int hp = 13331; const int maxn = 1000100; const int maxp = 1100; const int maxm = 4000100; const int up = 1000; const int N = 26; struct Palindromic_Tree { int t[maxn][N]; int fail[maxn]; int cnt[maxn]; int num[maxn]; int len[maxn]; int S[maxn]; int di[maxn]; int pre[maxn]; int last; int n; int p; int newnode(int l) { for (int i = 0; i < N; ++i) t[p][i] = 0; cnt[p] = 0; num[p] = 0; len[p] = l; return p++; } void init(void) { p = 0; newnode(0); newnode(-1); last = 0; n = 0; S[n] = -1; fail[0] = 1; pre[0] = 1; } int get_fail(int x) { while (S[n - len[x] - 1] != S[n]) x = fail[x]; return x; } void add(int c) { c -= 'a'; S[++n] = c; int cur = get_fail(last); if (!t[cur][c]) { int now = newnode(len[cur] + 2); fail[now] = t[get_fail(fail[cur])][c]; t[cur][c] = now; num[now] = num[fail[now]] + 1; di[now] = len[now] - len[fail[now]]; pre[now] = (di[now] == di[fail[now]]) ? pre[fail[now]] : fail[now]; } last = t[cur][c]; cnt[last]++; } void _count(void) { for (int i = p - 1; i >= 0; --i) cnt[fail[i]] += cnt[i]; } } pam; int dp[maxn], g[maxn]; char str[maxn], s[maxn]; int main(void) { scanf("%s", str + 1); int n = strlen(str + 1); if (n & 1) { printf("0\n"); return 0; } int cnt = 0; int l = 1, r = n; for (int i = 1; i <= n / 2; i++) s[++cnt] = str[l++], s[++cnt] = str[r--]; pam.init(); dp[0] = 1; for (int i = 1; i <= n; i++) { pam.add(s[i]); for (int p = pam.last; p != 1 && p != 0; p = pam.pre[p]) { g[p] = dp[i - pam.len[pam.pre[p]] - pam.di[p]]; if (pam.fail[p] != pam.pre[p]) g[p] = (g[p] + g[pam.fail[p]]) % mod; if (i % 2 == 0) dp[i] = (dp[i] + g[p]) % mod; } } printf("%d\n", dp[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 1010000; const int maxAlpha = 26; const int Mod = 1e9 + 7; const int inf = 2147483647; class Node { public: int son[maxAlpha]; int fail, len, nxt, diff; }; char str[maxN], str2[maxN]; int nodecnt, last; int F[maxN], G[maxN]; Node S[maxN]; void Insert(int pos, int c); int main() { scanf("%s", str + 1); int len = strlen(str + 1); if (len % 2 == 1) { printf("0\n"); return 0; } for (int i = 1; 2 * i - 1 <= len; i++) str2[2 * i - 1] = str[i]; for (int i = len; (len - i + 1) * 2 <= len; i--) str2[(len - i + 1) * 2] = str[i]; for (int i = 1; i <= len; i++) str[i] = str2[i]; nodecnt = 1; last = 0; S[0].len = 0; S[1].len = -1; S[0].fail = S[1].fail = 1; F[0] = 1; for (int i = 1; i <= len; i++) { Insert(i, str[i] - 'a'); for (int p = last; p; p = S[p].nxt) { G[p] = F[i - S[S[p].nxt].len - S[p].diff]; if (S[p].diff == S[S[p].fail].diff) G[p] = (G[p] + G[S[p].fail]) % Mod; if (i % 2 == 0) F[i] = (F[i] + G[p]) % Mod; } } printf("%d\n", F[len]); return 0; } void Insert(int pos, int c) { int p = last; while (str[pos - 1 - S[p].len] != str[pos]) p = S[p].fail; if (S[p].son[c] == 0) { int np = ++nodecnt, q = S[p].fail; while (str[pos - 1 - S[q].len] != str[pos]) q = S[q].fail; S[np].fail = S[q].son[c]; S[np].len = S[p].len + 2; S[p].son[c] = np; S[np].diff = S[np].len - S[S[np].fail].len; if (S[np].diff != S[S[np].fail].diff) S[np].nxt = S[np].fail; else S[np].nxt = S[S[np].fail].nxt; } last = S[p].son[c]; return; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 100; const int MOD = 1e9 + 7; struct PAM { int next[N][26], fail[N], len[N]; int txt[N], diff[N], link[N]; int tot, root0, root1, last, size; void init() { last = tot = size = 0; txt[size] = -1; root0 = newnode(0); root1 = newnode(-1); fail[root0] = 1; fail[root1] = 0; } int newnode(int l) { len[tot] = l; diff[tot] = 0; memset(next[tot], 0, sizeof(next[tot])); tot++; return tot - 1; } int getfail(int x) { while (txt[size - len[x] - 1] != txt[size]) x = fail[x]; return x; } void extend(int c) { txt[++size] = c; int now = getfail(last); if (!next[now][c]) { int tmp = newnode(len[now] + 2); fail[tmp] = next[getfail(fail[now])][c]; next[now][c] = tmp; } last = next[now][c]; diff[last] = len[last] - len[fail[last]]; if (diff[last] == diff[fail[last]]) link[last] = link[fail[last]]; else link[last] = fail[last]; } } pam; char s[N], t[N]; int f[N], g[N], n; int main() { scanf("%s", t + 1); n = strlen(t + 1); if (n & 1) { printf("0\n"); return 0; } pam.init(); f[0] = 1; for (int i = 1; i <= n; ++i) s[i] = i & 1 ? t[(i + 1) >> 1] : t[n + 1 - (i >> 1)]; for (int i = 1; i <= n; ++i) { pam.extend(s[i] - 'a'); for (int j = pam.last; j; j = pam.link[j]) { g[j] = f[i - pam.diff[j] - pam.len[pam.link[j]]]; if (pam.link[j] != pam.fail[j]) g[j] = (g[j] + g[pam.fail[j]]) % MOD; if ((i & 1) == 0) f[i] = (f[i] + g[j]) % MOD; } } printf("%d\n", f[n]); }
#include <bits/stdc++.h> using namespace std; inline int read() { char ch = getchar(); int w = 1, c = 0; for (; !isdigit(ch); ch = getchar()) if (ch == '-') w = -1; for (; isdigit(ch); ch = getchar()) c = (c << 1) + (c << 3) + (ch ^ 48); return w * c; } const int M = 1e6 + 10, mod = 1e9 + 7; char s[M], hry[M]; int n, fa[M], len[M], tot, lst, del[M], slink[M], t[M][26]; void init() { fa[1] = fa[0] = 1; len[1] = -1; tot = 1; lst = 1; } int gt(int x, int id) { for (; hry[id] ^ hry[id - len[x] - 1]; x = fa[x]) ; return x; } void extend(int id) { int p = gt(lst, id), o = hry[id] - 'a'; if (!t[p][o]) { int np = ++tot; fa[np] = t[gt(fa[p], id)][o]; t[p][o] = np; len[np] = len[p] + 2; del[np] = len[np] - len[fa[np]]; if (del[np] != del[fa[np]]) slink[np] = fa[np]; else slink[np] = slink[fa[np]]; } lst = t[p][o]; } long long ans[M], f[M]; int main() { scanf("%s", s + 1); n = strlen(s + 1); if (n & 1) { cout << 0 << "\n"; return 0; } int o = 0; for (int i = (1); i <= (n / 2); ++i) { hry[++o] = s[i]; hry[++o] = s[n - i + 1]; } init(); ans[0] = 1; for (int i = (1); i <= (n); ++i) { extend(i); for (int x = lst; x; x = slink[x]) { f[x] = ans[i - len[slink[x]] - del[x]]; if (del[x] == del[fa[x]]) f[x] = (f[x] + f[fa[x]]) % mod; if (i % 2 == 0) ans[i] = (ans[i] + f[x]) % mod; } } cout << ans[n] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; struct state { state *p, *go[27], *slink; int len, diff, dp; state() {} state(int length, state *fail) : p(fail), slink(0), len(length), diff(0), dp(0) { memset(go, 0, sizeof go); } void setDiff(int x) { diff = x; if (diff == p->diff) slink = p->slink; else slink = p; } } pool[1100001]; int tot = 0; inline state *new_state(int length, state *fail) { return &(pool[tot++] = state(length, fail)); } struct PAM { state *oroot, *eroot, *last; char s[1100001]; int length; PAM() : oroot(new_state(-1, pool)), eroot(new_state(0, oroot)), last(eroot), length(0) { oroot->setDiff(0); eroot->setDiff(0); } static int ID(char x) { return x - 'a'; } void extend(char ch) { int x = ID(s[++length] = ch); state *p = last; while (s[length - p->len - 1] != ch) p = p->p; if (p->go[x]) { last = p->go[x]; return; } else p->go[x] = new_state(p->len + 2, 0); state *q = last = p->go[x]; p = p->p; while (s[length - p->len - 1] != ch) p = p->p; q->p = (q->len == 1 ? eroot : p->go[x]); q->setDiff(q->len - q->p->len); } }; const int mod = 1e9 + 7; inline void add(int &a, int b) { if ((a += b) >= mod) a -= mod; } char t[1100001], s[1100001]; int n, dp[1100001]; int main() { scanf("%s", t + 1); n = strlen(t + 1); for (int i = 1, j = n, k = 1; i < j; i++, j--, k += 2) s[k] = t[i], s[k + 1] = t[j]; PAM pam; dp[0] = 1; for (int i = 1; i <= n; i++) { pam.extend(s[i]); for (state *T = pam.last; T->len > 0; T = T->slink) { T->dp = dp[i - T->slink->len - T->diff]; if (T->diff == T->p->diff) add(T->dp, T->p->dp); if (i % 2 == 0) add(dp[i], T->dp); } } printf("%d\n", dp[n]); }
#include <bits/stdc++.h> using namespace std; int n; char c[1000100], S[1000100]; struct node { int tr[26]; int len, fail; } s[1000100]; int ptr, last; int newnode(int l) { s[ptr].len = l; return ptr++; } void init() { ptr = last = 0; newnode(0); newnode(-1); s[0].fail = 1; return; } int getfail(int i, int p) { while (c[i - s[p].len - 1] != c[i]) p = s[p].fail; return p; } int diff[1000100], anc[1000100]; void extend(int i, int k) { int p = getfail(i, last); if (s[p].tr[k] == 0) { int np = newnode(s[p].len + 2); s[np].fail = s[getfail(i, s[p].fail)].tr[k]; s[p].tr[k] = np; diff[np] = s[np].len - s[s[np].fail].len; anc[np] = (diff[np] == diff[s[np].fail] ? anc[s[np].fail] : s[np].fail); } last = s[p].tr[k]; return; } int f[1000100], ans[1000100]; int main() { scanf("%s", S + 1); n = strlen(S + 1); if (n & 1) { puts("0"); return 0; } init(); int cur = 0; for (int i = 1, j = n; i < j; ++i, --j) { c[++cur] = S[i]; c[++cur] = S[j]; } ans[0] = 1; for (int i = 1; i <= n; ++i) { extend(i, c[i] - 'a'); for (int p = last; p != 0; p = anc[p]) { f[p] = ans[i - s[anc[p]].len - diff[p]]; if (anc[p] != s[p].fail) f[p] = (f[p] + f[s[p].fail]) % 1000000007; if (i % 2 == 0) ans[i] = (ans[i] + f[p]) % 1000000007; } } cout << ans[n] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int ch[1234567][26], len[1234567], fail[1234567], s[1234567], cl, an, lst, sf[1234567], df[1234567]; int addn(int l) { len[an] = l; return an++; } void init() { cl = an = lst = 0; addn(0); addn(-1); fail[0] = 1; s[0] = -233; } int gfail(int x, int l) { while (s[l - len[x] - 1] != s[l]) x = fail[x]; return x; } void add(int c) { c -= 'a'; s[++cl] = c; int cp = gfail(lst, cl); if (!ch[cp][c]) { int nn = addn(len[cp] + 2); fail[nn] = ch[gfail(fail[cp], cl)][c]; ch[cp][c] = nn; } lst = ch[cp][c]; df[lst] = len[lst] - len[fail[lst]]; sf[lst] = (df[lst] == df[fail[lst]]) ? sf[fail[lst]] : fail[lst]; } int ans[1234567], la[1234567]; const int MOD = 1e9 + 7; char str[1234567], sc[1234567]; int main() { scanf("%s", str + 1); init(); int n = strlen(str + 1), g = 0; for (int i = 1; i <= n + 1 - i; i++) sc[++g] = str[i], sc[++g] = str[n + 1 - i]; ans[0] = 1; for (int i = 1; i <= n; ++i) { add(sc[i]); for (int j = lst; len[j] > 0; j = sf[j]) { la[j] = ans[i - (len[sf[j]] + df[j])]; if (sf[j] != fail[j]) (la[j] += la[fail[j]]) %= MOD; if (i % 2 == 0) (ans[i] += la[j]) %= MOD; } } printf("%d\n", ans[n]); }
#include <bits/stdc++.h> using namespace std; int n, m, i, j, ch[1000005][27], fa[1000005], tp[1000005], sum[1000005], dp[1000005], df[1000005], len[1000005], lst, cnt, mod = 1e9 + 7; string s, t; int gtpre(int x, int i) { while (t[i - len[x] - 1] != t[i]) { x = fa[x]; } return x; } void ins(int i) { lst = gtpre(lst, i); if (!ch[lst][t[i] - 'a']) { fa[++cnt] = ch[gtpre(fa[lst], i)][t[i] - 'a']; ch[lst][t[i] - 'a'] = cnt; len[cnt] = len[lst] + 2; df[cnt] = len[cnt] - len[fa[cnt]]; if (df[cnt] == df[fa[cnt]]) tp[cnt] = tp[fa[cnt]]; else tp[cnt] = cnt; } lst = ch[lst][t[i] - 'a']; int x = lst; while (x) { sum[x] = dp[i - len[tp[x]]]; if (tp[x] != x) (sum[x] += sum[fa[x]]) %= mod; if (!(i & 1)) (dp[i] += sum[x]) %= mod; x = fa[tp[x]]; } } int main() { cnt = 1; fa[0] = 1; len[1] = -1; lst = 0; { static char ss[1000005]; scanf(" %s", ss); (s) = ss; }; t = s; for ((i) = 0; (i) < (s.length()); (i)++) if (!(i & 1)) t[i] = s[i / 2]; else t[i] = s[s.length() - i / 2 - 1]; t = " " + t; s = t; dp[0] = 1; for ((i) = 1; (i) <= (s.length() - 1); (i)++) ins(i); cout << dp[s.length() - 1] << endl; return 0; }
#include <bits/stdc++.h> const int N = 1e6 + 5, mod = 1e9 + 7; using namespace std; char s[N], t[N]; namespace PAM { int dfn, las, top, tot; int dif[N], bot[N], pos[N]; int f[N], g[N]; struct node { int len, fail, c[26]; } a[N]; int getfail(int x) { while (s[top] != s[top - a[x].len - 1]) x = a[x].fail; return x; } void extend(int k) { ++top; int cur = getfail(las); if (!a[cur].c[k]) { int now = ++tot; a[now].len = a[cur].len + 2; a[now].fail = a[getfail(a[cur].fail)].c[k]; dif[now] = a[now].len - a[a[now].fail].len; bot[now] = dif[now] == dif[a[now].fail] ? bot[a[now].fail] : now; a[cur].c[k] = now; } las = a[cur].c[k]; } void build(char *s) { int len = strlen(s + 1); las = tot = 1; top = 0; a[0].len = 0, a[1].len = -1; a[0].fail = a[1].fail = 1; for (int i = 1; i <= len; ++i) extend(s[i] - 'a'), pos[i] = las; } void solve(int n) { f[0] = 1; for (int i = 1; i <= n; ++i) for (int j = pos[i]; j; j = a[bot[j]].fail) { int t = bot[j]; if (t != j) g[j] = g[a[j].fail]; else g[j] = 0; if (a[t].len) g[j] = (g[j] + f[i - a[t].len]) % mod; if (i % 2 == 0) f[i] = (f[i] + g[j]) % mod; } printf("%d\n", f[n]); } } // namespace PAM int main() { scanf("%s", t + 1); int len = strlen(t + 1); for (int i = 1; i <= len; ++i) s[i] = i % 2 == 0 ? t[len - i / 2 + 1] : t[i + 1 >> 1]; PAM::build(s); PAM::solve(len); return 0; }
#include <bits/stdc++.h> using namespace std; const int abc = 26, mod = 1e9 + 7, maxn = 1e6 + 79; string s, a; void add(int& a, const int& b) { a += b; if (a >= mod) a -= mod; } vector<int> slinkdp(maxn, 0), dp(maxn, 0); class palindromic_tree { public: class node { public: int link, slink, len, dif; vector<int> s; node() : link(0), len(0), slink(0), dif(0), s(vector<int>(26, -1)) {} }; vector<node> t; int size, last; palindromic_tree() : t(vector<node>(maxn)), size(2), last(0) { t[0].len = -1; } void add(int pos) { int v = last; for (;; v = t[v].link) if (pos - t[v].len - 1 >= 0 && a[pos] == a[pos - t[v].len - 1]) break; if (t[v].s[a[pos]] != -1) { last = t[v].s[a[pos]]; return; } int nw = size++; t[v].s[a[pos]] = nw; t[nw].len = t[v].len + 2; last = nw; if (t[nw].len == 1) { t[nw].link = t[nw].slink = t[nw].dif = 1; return; } for (v = t[v].link; v; v = t[v].link) if (pos - t[v].len - 1 >= 0 && a[pos] == a[pos - t[v].len - 1]) break; t[nw].link = t[v].s[a[pos]]; t[nw].dif = t[nw].len - t[t[nw].link].len; if (t[nw].dif != t[t[nw].link].dif) t[nw].slink = t[nw].link; else t[nw].slink = t[t[nw].link].slink; } }; int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> s; for (int i = 0; i < s.size() / 2; i++) a.push_back(s[i] - 'a'), a.push_back(s[s.size() - 1 - i] - 'a'); dp[0] = 1; palindromic_tree p; for (int i = 0; i < a.size(); i++) { p.add(i); for (int j = p.last; j > 1; j = p.t[j].slink) { slinkdp[j] = dp[1 + i - (p.t[p.t[j].slink].len + p.t[j].dif)]; if (p.t[j].dif == p.t[p.t[j].link].dif) add(slinkdp[j], slinkdp[p.t[j].link]); add(dp[i + 1], slinkdp[j]); } dp[i + 1] *= (i & 1); } cout << dp[a.size()] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int read() { char c; int w = 1; while ((c = getchar()) > '9' || c < '0') if (c == '-') w = -1; int ans = c - '0'; while ((c = getchar()) >= '0' && c <= '9') ans = (ans << 1) + (ans << 3) + c - '0'; return ans * w; } const int xx = 1e6 + 5; const int mod = 1e9 + 7; char s[xx]; char c[xx]; long long dp[xx]; long long g[xx]; struct node { int to[26]; int size; int fail; int diff; int slink; } e[xx]; int last; int getfail(int x, int p) { while (c[p] != c[p - e[x].size - 1]) x = e[x].fail; return x; } int cst; void add(int x, int p) { int now = getfail(last, p); if (e[now].to[x]) return last = e[now].to[x], void(); e[++cst].fail = e[getfail(e[now].fail, p)].to[x]; e[cst].size = e[now].size + 2; e[now].to[x] = cst; e[cst].diff = e[cst].size - e[e[cst].fail].size; if (e[cst].diff == e[e[cst].fail].diff) e[cst].slink = e[e[cst].fail].slink; else e[cst].slink = e[cst].fail; last = cst; } int main() { cst = 1; last = 1; e[1].size = -1; e[0].fail = 1; scanf("%s", s + 1); int n = strlen(s + 1); for (int i = 1; i <= n; i++) { if (i & 1) c[i] = s[(i + 1) / 2]; else c[i] = s[n - i / 2 + 1]; } dp[0] = 1; for (int i = 1; i <= n; i++) { add(c[i] - 'a', i); int now = last; while (now > 1) { g[now] = dp[i - e[e[now].slink].size - e[now].diff]; g[now] >= mod ? g[now] -= mod : 0; if (e[now].diff == e[e[now].fail].diff) g[now] += g[e[now].fail]; g[now] >= mod ? g[now] -= mod : 0; if (!(i & 1)) dp[i] += g[now]; dp[i] >= mod ? dp[i] -= mod : 0; now = e[now].slink; } } cout << dp[n] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x7fffffff; const int N = 1e6 + 5; inline int read() { int x = 0, rev = 0, ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') rev = 1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + ch - '0'; ch = getchar(); } return rev ? -x : x; } int n, lst, cnt = 1, id[N], nxt[N], c[N][26], fail[N], len[N], f[N], g[N], diff[N]; char s[N], ss[N]; int extend(int x, int n) { int p = lst; while (s[n - len[p] - 1] != s[n]) p = fail[p]; if (!c[p][x]) { int now = ++cnt, k = fail[p]; len[now] = len[p] + 2; while (s[n - len[k] - 1] != s[n]) k = fail[k]; fail[now] = c[k][x], c[p][x] = now; diff[now] = len[now] - len[fail[now]]; if (diff[now] == diff[fail[now]]) nxt[now] = nxt[fail[now]]; else nxt[now] = fail[now]; } return lst = c[p][x]; } int main() { scanf("%s", ss + 1), n = strlen(ss + 1); for (int i = 1, j = 0; i <= n; i += 2) s[i] = ss[++j]; for (int i = 2, j = n + 1; i <= n; i += 2) s[i] = ss[--j]; fail[0] = fail[1] = 1, len[1] = -1, f[0] = 1; for (int i = 1; i <= n; i++) id[i] = extend(s[i] - 'a', i); for (int i = 1; i <= n; i++) { for (int j = id[i]; j; j = nxt[j]) { g[j] = f[i - len[nxt[j]] - diff[j]]; if (diff[j] == diff[fail[j]]) (g[j] += g[fail[j]]) %= 1000000007; if (!(i & 1)) (f[i] += g[j]) %= 1000000007; } } printf("%d\n", f[n]); }
#include <bits/stdc++.h> const int MAXN = 1000000; const int MOD = int(1E9) + 7; struct node { int len, dif, f; node *slk, *ch[26], *fa; } pl[MAXN + 5], *rt1, *rt2, *ncnt; node *nd[MAXN + 5]; void build(char *S, int len) { rt1 = ncnt = pl, rt2 = (++ncnt); rt2->fa = rt1, rt1->len = -1, rt2->len = 0; node *pre = rt1; for (int i = 0; i < len; i++) { while (S[i] != S[i - pre->len - 1]) pre = pre->fa; if (pre->ch[S[i] - 'a'] == NULL) { node *q = (++ncnt); q->len = pre->len + 2; if (pre == rt1) q->fa = rt2; else { node *p = pre->fa; while (S[i] != S[i - p->len - 1]) p = p->fa; q->fa = p->ch[S[i] - 'a']; } q->dif = q->len - q->fa->len; q->slk = (q->dif == q->fa->dif ? q->fa->slk : q->fa); pre->ch[S[i] - 'a'] = q; } nd[i + 1] = pre = pre->ch[S[i] - 'a']; } } char s[MAXN + 5], t[MAXN + 5]; int dp[MAXN + 5]; int main() { scanf("%s", s); int len = strlen(s); for (int i = 0; i < len / 2; i++) t[(i << 1) + 1] = s[i], t[(i << 1 | 1) + 1] = s[len - i - 1]; build(t + 1, len); dp[0] = 1; for (int i = 1; i <= len; i++) { node *p = nd[i]; while (p != rt2) { p->f = dp[i - p->slk->len - p->dif]; if (p->slk != p->fa) p->f = (p->f + p->fa->f) % MOD; dp[i] = (dp[i] + p->f) % MOD; p = p->slk; } if (i & 1) dp[i] = 0; } printf("%d\n", dp[len]); }
#include <bits/stdc++.h> using namespace std; const int mo = 1000000007; const int N = 1000005; int ch[N][26]; int nd, la, fa[N], l[N]; int dif[N], anc[N]; int f[N], g[N], n; char ss[N], s[N]; void init() { nd = 1; l[1] = -1; fa[0] = fa[1] = 1; anc[0] = 1; } void extend(int c, int n) { int p = la; for (; s[n - l[p] - 1] != s[n]; p = fa[p]) ; if (!ch[p][c]) { int np = ++nd, x = fa[p]; for (; s[n - l[x] - 1] != s[n]; x = fa[x]) ; l[np] = l[p] + 2; fa[np] = ch[x][c]; dif[np] = l[np] - l[fa[np]]; ch[p][c] = np; anc[np] = (dif[np] == dif[fa[np]] ? anc[fa[np]] : fa[np]); } la = ch[p][c]; } int main() { init(); scanf("%s", ss + 1); n = strlen(ss + 1); assert(n % 2 == 0); for (int i = (int)(1); i <= (int)(n / 2); i++) s[i * 2 - 1] = ss[i]; for (int i = (int)(1); i <= (int)(n / 2); i++) s[i * 2] = ss[n - i + 1]; g[0] = 1; for (int i = (int)(1); i <= (int)(n); i++) { extend(s[i] - 'a', i); for (int j = la; j > 1; j = anc[j]) { f[j] = g[i - l[anc[j]] - dif[j]]; if (anc[j] != fa[j]) f[j] = (f[j] + f[fa[j]]) % mo; if (i % 2 == 0) g[i] = (g[i] + f[j]) % mo; } } printf("%d\n", g[n]); }
#include <bits/stdc++.h> char zf[1000010]; int fa[1000010], trs[1000010][26], len[1000010], la = 1, sl = 2, tp[1000010], cz[1000010]; int insert(int i, char c) { int x = int(c - 'a'); while (i - len[la] - 1 <= 0 || zf[i - len[la] - 1] != c) la = fa[la]; if (trs[la][x]) { la = trs[la][x]; return la; } int w = trs[la][x] = ++sl, t = fa[la]; len[w] = len[la] + 2; while (t && (trs[t][x] == 0 || i - len[t] - 1 <= 0 || zf[i - len[t] - 1] != c)) t = fa[t]; if (trs[t][x]) { int f = trs[t][x]; cz[w] = len[w] - len[f]; if (cz[w] == cz[f]) tp[w] = tp[f]; else tp[w] = f; fa[w] = f; } else { tp[w] = fa[w] = 2; cz[w] = len[w]; } return la = w; } char sr[1000010]; int dp[1000010], he[1000010], wz[1000010]; int main() { len[1] = -1; fa[2] = tp[2] = 1; scanf("%s", sr); int n = strlen(sr); for (int i = 0; i < n / 2; i++) { zf[i * 2 + 1] = sr[i]; zf[i * 2 + 2] = sr[n - 1 - i]; } for (int i = 1; i <= n; i++) wz[i] = insert(i, zf[i]); dp[0] = 1; for (int i = 1; i <= n; i++) { int u = wz[i]; while (u != 2) { he[u] = dp[i - len[tp[u]] - cz[u]]; if (tp[u] != fa[u]) he[u] = (he[u] + he[fa[u]]) % 1000000007; if (i % 2 == 0) dp[i] = (dp[i] + he[u]) % 1000000007; u = tp[u]; } } printf("%d", dp[n]); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> void read(T &x) { x = 0; bool f = 0; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = 1; for (; isdigit(c); c = getchar()) x = x * 10 + (c ^ 48); if (f) x = -x; } template <typename F> inline void write(F x, char ed = '\n') { static short st[30]; short tp = 0; if (x < 0) putchar('-'), x = -x; do st[++tp] = x % 10, x /= 10; while (x); while (tp) putchar('0' | st[tp--]); putchar(ed); } template <typename T> inline void Mx(T &x, T y) { x < y && (x = y); } template <typename T> inline void Mn(T &x, T y) { x > y && (x = y); } const int N = 2e6 + 5; const int P = 1e9 + 7; char s[N], ts[N]; int ans[N], ch[N][26], f[N], g[N], anc[N], cnt = 1, las; int dif[N], len[N], n; int getfail(int x, int c) { while (s[c - len[x] - 1] != s[c]) x = f[x]; return x; } void insert(int c, int x) { int p = getfail(las, x); if (!ch[p][c]) { len[++cnt] = len[p] + 2, f[cnt] = ch[getfail(f[p], x)][c]; dif[cnt] = len[cnt] - len[f[cnt]], ch[p][c] = cnt; anc[cnt] = (dif[cnt] == dif[f[cnt]]) ? anc[f[cnt]] : f[cnt]; } las = ch[p][c]; } inline void add(int &x, int y) { x += y, x >= P && (x -= P); } int main() { scanf("%s", ts + 1); n = strlen(ts + 1); if (n & 1) return write(0), 0; int t = 0; for (int i = 1, j = n; i <= j; i++, j--) s[++t] = ts[i], s[++t] = ts[j]; len[1] = -1, f[0] = f[1] = ans[0] = 1; for (int i = 1; i <= n; i++) { insert(s[i] - 'a', i); for (int k = las; k; k = anc[k]) { g[k] = ans[i - len[anc[k]] - dif[k]]; if (anc[k] != f[k]) add(g[k], g[f[k]]); if (!(i & 1)) add(ans[i], g[k]); } } write(ans[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; struct Node { int t[26], len, f, tf, d, s; } a[1000500]; int tn, las; void linkd(int u) { int fa = a[u].f; a[u].d = a[u].len - a[fa].len; a[u].tf = (a[u].d == a[fa].d && a[u].d * 2 <= a[u].len) ? a[fa].tf : u; } void ins(int k, int c, char *str) { int p = las; while (str[k - a[p].len - 1] != c) p = a[p].f; if (!a[p].t[c]) { int np = las = ++tn, v; for (v = a[p].f; str[k - a[v].len - 1] != c; v = a[v].f) ; if (!a[v].t[c]) a[np].f = 2; else a[np].f = a[v].t[c]; a[a[p].t[c] = np].len = a[p].len + 2; linkd(np); } else las = a[p].t[c]; } int f[1000500]; void dp(int k) { for (int p = las; p > 2; p = a[a[p].tf].f) { int tl = a[a[p].tf].len; a[p].s = f[k - tl]; if (a[p].tf != p) a[p].s = (a[a[p].f].s + a[p].s) % mod; if (!(k & 1)) f[k] = (f[k] + a[p].s) % mod; } } void Init() { a[1].f = a[2].f = 1; a[1].len = -1; las = tn = 2; } int n; char s[1000500], s2[1000500]; int main() { scanf("%s", s2 + 1); n = strlen(s2 + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i + i <= n; i++) { s[i * 2 - 1] = s2[n - i + 1]; s[i * 2] = s2[i]; } s[0] = -1; f[0] = 1; Init(); for (int i = 1; i <= n; i++) { ins(i, s[i] -= 'a', s); dp(i); } printf("%d", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 5; const int mod = 1e9 + 7; char s[maxn], t[maxn]; int nxt[maxn][26], fail[maxn], anc[maxn], diff[maxn], len[maxn]; int last, tot; int g[maxn], dp[maxn]; void init() { memset(s, -1, sizeof(s)); tot = 1; last = 0; fail[0] = 1; len[1] = -1; } void extend(char x, int idx) { static auto get = [&](int now) -> int { while (s[idx - len[now] - 1] != x) { if (s[idx - len[fail[now]] - 1] == x) { now = fail[now]; break; } else now = anc[now]; } return now; }; int p = get(last); if (!nxt[p][x]) { len[++tot] = len[p] + 2; fail[tot] = nxt[get(fail[p])][x]; diff[tot] = len[tot] - len[fail[tot]]; anc[tot] = diff[tot] == diff[fail[tot]] ? anc[fail[tot]] : fail[tot]; nxt[p][x] = tot; } last = nxt[p][x]; for (int i = last; i > 1; i = anc[i]) { g[i] = dp[idx - len[anc[i]] - diff[i]]; if (diff[i] == diff[fail[i]]) { g[i] += g[fail[i]]; g[i] %= mod; } dp[idx] += (idx % 2 == 0) * g[i]; dp[idx] %= mod; } } int main() { init(); scanf("%s", t + 1); int n = strlen(t + 1); int tot = 0; for (int i = 1; i <= n / 2; ++i) { s[++tot] = t[i]; s[++tot] = t[n - i + 1]; } s[tot + 1] = 0; dp[0] = 1; for (int i = 1; i <= n; ++i) { extend(s[i], i); } cout << dp[n] << endl; return 0; }
#include <bits/stdc++.h> const int base = 26; const int mod = 1e9 + 7; const int MaxN = 1e6 + 5; int n; char s[MaxN], t[MaxN]; int ans[MaxN]; namespace PAM { int lst, cur_n, nT = 1; int fir[MaxN], del[MaxN], f[MaxN]; int trans[MaxN][base], len[MaxN], par[MaxN]; inline void init() { len[1] = -1; par[0] = par[1] = 1; } inline int find(int x) { while (s[cur_n] != s[cur_n - len[x] - 1]) x = par[x]; return x; } inline void extend(int ch) { ++cur_n, ch -= 'a'; int cur = find(lst); if (!trans[cur][ch]) { int x = ++nT; par[x] = trans[find(par[cur])][ch]; len[trans[cur][ch] = x] = len[cur] + 2; del[x] = len[x] - len[par[x]]; if (del[x] == del[par[x]]) fir[x] = fir[par[x]]; else fir[x] = x; } lst = trans[cur][ch]; } } // namespace PAM inline void add(int &x, const int &y) { x += y; if (x >= mod) x -= mod; } int main() { scanf("%s", t + 1); n = strlen(t + 1); int cur = 0; for (int i = 1; i <= (n >> 1); ++i) { s[++cur] = t[i]; s[++cur] = t[n - i + 1]; } using namespace PAM; init(); ans[0] = 1; for (int i = 1; i <= n; ++i) { extend(s[i]); for (int x = lst; x; x = par[fir[x]]) { f[x] = ans[i - len[fir[x]]]; if (fir[x] != x) add(f[x], f[par[x]]); if (~i & 1) add(ans[i], f[x]); } } std::cout << ans[n] << std::endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1000010; const int mod = 1e9 + 7; template <typename Tp> void Add(Tp &x, Tp y) { x = (x + y) % mod; } namespace PAM { const int MAX = 1000010; int tr[MAX][26], fail[MAX], len[MAX], diff[MAX], slink[MAX]; int sz, tot, lst; char s[MAX]; int newnode(int l) { ++sz; len[sz] = l; fail[sz] = diff[sz] = slink[sz] = 0; memset(tr[sz], 0, sizeof(tr[sz])); return sz; } void init() { sz = -1; lst = 0; s[tot = 0] = '$'; newnode(0); newnode(-1); fail[0] = 1; } int getfail(int x) { while (s[tot] != s[tot - len[x] - 1]) x = fail[x]; return x; } void insert(char c) { s[++tot] = c; int cur = getfail(lst); if (!tr[cur][c - 'a']) { int now = newnode(len[cur] + 2); fail[now] = tr[getfail(fail[cur])][c - 'a']; tr[cur][c - 'a'] = now; diff[now] = len[now] - len[fail[now]]; if (diff[now] == diff[fail[now]]) slink[now] = slink[fail[now]]; else slink[now] = fail[now]; } lst = tr[cur][c - 'a']; } long long solve(char *s, int n) { static long long g[N], dp[N]; init(); memset(g, 0, sizeof(g)); memset(dp, 0, sizeof(dp)); dp[0] = 1; for (int i = 1; i <= n; ++i) { insert(s[i]); for (int x = lst; x > 1; x = slink[x]) { g[x] = dp[i - len[slink[x]] - diff[x]]; if (diff[x] == diff[fail[x]]) Add(g[x], g[fail[x]]); if (i % 2 == 0) Add(dp[i], g[x]); } } return dp[n]; } } // namespace PAM char s[N], t[N]; int n; int main() { cin >> (s + 1); n = strlen(s + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i <= n / 2; ++i) { t[i * 2 - 1] = s[i]; t[i * 2] = s[n - i + 1]; } cout << PAM::solve(t, n) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } char s[1000005]; namespace PalindromicAutoMaton { int trie[1000005][26], len[1000005], fail[1000005], cnt[1000005]; int d[1000005], top[1000005]; int tot, last; int now; void Build() { tot = 1; len[0] = 0; fail[0] = 1; len[1] = -1; fail[1] = 0; last = 0; now = 0; } int New(int l) { tot++; memset(trie[tot], 0, sizeof(trie[tot])); len[tot] = l, fail[tot] = 0; return tot; } int GetFail(int x) { while (s[now - len[x] - 1] != s[now]) x = fail[x]; return x; } void Add(int ch) { now++; int cur = GetFail(last); if (!trie[cur][ch]) { int nd = New(len[cur] + 2); fail[nd] = trie[GetFail(fail[cur])][ch]; d[nd] = len[nd] - len[fail[nd]]; top[nd] = (d[nd] == d[fail[nd]] ? top[fail[nd]] : fail[nd]); trie[cur][ch] = nd; } cnt[trie[cur][ch]]++; last = trie[cur][ch]; } } // namespace PalindromicAutoMaton using namespace PalindromicAutoMaton; char t[1000005]; int sum[1000005]; int dp[1000005]; int main() { scanf("%s", t + 1); int n = strlen(t + 1); int ptr = 0; for (int i = 1, j = n; i <= j; i++, j--) { s[++ptr] = t[i]; s[++ptr] = t[j]; } Build(); dp[0] = 1; for (int i = 1; i <= n; ++i) { Add(s[i] - 'a'); for (int p = last; p > 1; p = top[p]) { sum[p] = dp[i - len[top[p]] - d[p]]; if (d[p] == d[fail[p]]) { (sum[p] += sum[fail[p]]) %= 1000000007; } if (i % 2 == 0) (dp[i] += sum[p]) %= 1000000007; } } printf("%d\n", dp[n]); return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline void rd(T &x) { x = 0; char c = getchar(); int f = 1; while (!isdigit(c)) { if (c == '-') f = -1; c = getchar(); } while (isdigit(c)) x = x * 10 - '0' + c, c = getchar(); x *= f; } const int mod = 1e9 + 7; const int N = 1e6 + 10; int link[N], slink[N], diff[N], len[N], last; namespace PT { int ch[N][26], ncnt; int S[N], n; void init() { ncnt = 1; link[0] = 1, link[1] = 0; len[0] = 0, len[1] = -1; S[0] = -1; } void ins(int c) { S[++n] = c; int p = last; while (S[n - len[p] - 1] != S[n]) p = link[p]; if (!ch[p][c]) { int q = ++ncnt, u = link[p]; while (S[n - len[u] - 1] != S[n]) u = link[u]; link[q] = ch[u][c], ch[p][c] = q; len[q] = len[p] + 2, diff[q] = len[q] - len[link[q]], slink[q] = diff[q] == diff[link[q]] ? slink[link[q]] : link[q]; } last = ch[p][c]; } } // namespace PT int dp[N], g[N]; int n; char S[N], T[N]; int main() { scanf("%s", S + 1); n = strlen(S + 1); for (int i = 1, tp = 0; i < n - i + 1; ++i) T[++tp] = S[i], T[++tp] = S[n - i + 1]; PT::init(); dp[0] = 1; for (int i = 1; i <= n; ++i) { PT::ins(T[i] - 'a'); for (int u = last; len[u] > 0; u = slink[u]) { g[u] = dp[i - len[slink[u]] - diff[u]]; if (slink[u] != link[u]) g[u] = (g[u] + g[link[u]]) % mod; if (!(i & 1)) dp[i] = (dp[i] + g[u]) % mod; } } printf("%d", dp[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 1e6; const long long mod = 1e9 + 7; namespace ModCalc { inline void Inc(long long &x, long long y) { x += y; if (x >= mod) x -= mod; } inline void Dec(long long &x, long long y) { x -= y; if (x < 0) x += mod; } inline long long Add(long long x, long long y) { Inc(x, y); return x; } inline long long Sub(long long x, long long y) { Dec(x, y); return x; } } // namespace ModCalc using namespace ModCalc; char t[N + 5], s[N + 5]; int n; long long f[N + 5], g[N + 5], slink[N + 5], diff[N + 5]; struct PAM { int nx[N + 5][26], fail[N + 5], len[N + 5]; int cnt, last; void clear() { cnt = 1; fail[1] = fail[0] = 1; len[1] = -1; } void extend(char c, int n) { int id = c - 'a'; int p = last; while (s[n - len[p] - 1] != s[n]) p = fail[p]; if (!nx[p][id]) { cnt++; len[cnt] = len[p] + 2; int q = fail[p]; while (s[n - len[q] - 1] != s[n]) q = fail[q]; fail[cnt] = nx[q][id]; diff[cnt] = len[cnt] - len[fail[cnt]]; nx[p][id] = cnt; slink[cnt] = (diff[cnt] == diff[fail[cnt]] ? slink[fail[cnt]] : fail[cnt]); } last = nx[p][id]; p = last; while (p >= 2) { g[p] = f[n - len[slink[p]] - diff[p]]; if (diff[p] == diff[fail[p]]) Inc(g[p], g[fail[p]]); if (!(n & 1)) Inc(f[n], g[p]); p = slink[p]; } } } P; int main() { scanf("%s", t + 1); n = strlen(t + 1); if (n & 1) { puts("0"); return 0; } int _n = 0; for (register int i = 1; (i << 1) <= n; i++) { s[++_n] = t[i]; s[++_n] = t[n + 1 - i]; } P.clear(); f[0] = 1; for (register int i = 1; i <= n; i++) P.extend(s[i], i); cout << f[n] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 5, mod = 1e9 + 7; char t[N], s[N]; inline int add(int x, int y) { return x + y >= mod ? x + y - mod : x + y; } inline void inc(int& x, int y) { x = add(x, y); } namespace PAM { int last, tot, len[N], fail[N], dif[N], slink[N], ch[N][26]; inline void pre() { tot = 1; len[0] = 0, len[1] = -1; fail[1] = 1, fail[0] = 1; last = 0; } inline void nd(int x, int p, int c) { ch[p][c] = ++tot; len[tot] = len[p] + 2; if (p == 1) fail[tot] = 0; else { p = fail[p]; while (s[x] != s[x - len[p] - 1]) p = fail[p]; fail[tot] = ch[p][c]; } dif[tot] = len[tot] - len[fail[tot]]; if (dif[tot] != dif[fail[tot]]) slink[tot] = fail[tot]; else slink[tot] = slink[fail[tot]]; } inline void extend(int x, int c) { int p = last; while (s[x] != s[x - len[p] - 1]) p = fail[p]; if (!ch[p][c]) nd(x, p, c); last = ch[p][c]; } } // namespace PAM using namespace PAM; int f[N], g[N]; int main() { scanf("%s", t + 1); int n = strlen(t + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1, l = 1, r = n; l <= r; ++i) s[i] = (i & 1) ? t[l++] : t[r--]; f[0] = 1; pre(); for (int i = 1; i <= n; ++i) { extend(i, s[i] - 'a'); for (int p = last; p; p = slink[p]) { g[p] = f[i - len[slink[p]] - dif[p]]; if (slink[p] != fail[p]) inc(g[p], g[fail[p]]); if (!(i & 1)) inc(f[i], g[p]); } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; int n, fa[1200000], sf[1200000], len[1200000], f[1200000], g[1200000], diff[1200000], c[1200000][30], p, np, cnt; char s[1200000], a[1200000]; void upd(int &x, int y) { x = (x + y) % mod; } int main() { scanf("%s", s + 1); n = strlen(s + 1); for (int i = 1; i <= n / 2; ++i) { a[i * 2 - 1] = s[i]; a[i * 2] = s[n - i + 1]; } fa[0] = 1; len[0] = 0; fa[1] = 1; len[1] = -1; np = cnt = 1; f[0] = 1; for (int i = 1; i <= n; ++i) { int w = a[i] - 'a'; for (p = np; a[i] != a[i - len[p] - 1]; p = fa[p]) ; if (!c[p][w]) { int q = fa[p], now = ++cnt; len[now] = len[p] + 2; for (; a[i] != a[i - len[q] - 1]; q = fa[q]) ; fa[now] = c[q][w]; diff[now] = len[now] - len[fa[now]]; c[p][w] = np = now; sf[now] = diff[now] == diff[fa[now]] ? sf[fa[now]] : fa[now]; } else np = c[p][w]; for (int q = np; q; q = sf[q]) { g[q] = f[i - len[sf[q]] - diff[q]]; if (diff[q] == diff[fa[q]]) upd(g[q], g[fa[q]]); upd(f[i], g[q]); } if (i & 1) f[i] = 0; } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; struct palindromic_tree { static const int SIGMA = 26; struct Node { int len, link, slink, diff, to[SIGMA]; long long cnt; Node(int len, int link = 0, int slink = -1, long long cnt = 1, int diff = 0) : len(len), link(link), slink(slink), cnt(cnt), diff(diff) { memset(to, 0, sizeof(to)); } }; vector<Node> ns; int last; palindromic_tree() : last(0) { ns.push_back(Node(-1)); ns.push_back(Node(0)); } void add(int i, string &s) { int p = last, c = s[i] - 'a'; while (s[i - ns[p].len - 1] != s[i]) p = ns[p].link; if (ns[p].to[c]) { last = ns[p].to[c]; ns[last].cnt++; } else { int q = ns[p].link; while (s[i - ns[q].len - 1] != s[i]) q = ns[q].link; q = max(1, ns[q].to[c]); last = ns[p].to[c] = int(ns.size()); int sl, mydiff = ns[p].len + 2 - ns[q].len; if (mydiff == ns[q].diff) sl = ns[q].slink; else sl = q; ns.push_back(Node(ns[p].len + 2, q, sl, 1, mydiff)); } } }; int MOD = 1e9 + 7; int sum(int a, int b) { int ans = a + b; if (ans >= MOD) ans -= MOD; return ans; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); string s, t; cin >> t; int n = int(t.size()); for (int i = 0, ThxDem = int(t.size()); i < ThxDem; ++i) { if (i & 1) s.push_back(t[n - i / 2 - 1]); else s.push_back(t[i / 2]); } palindromic_tree p; vector<int> dp(n + 10), sdp(n + 10); dp[0] = 1; for (int i = 0, ThxDem = n; i < ThxDem; ++i) { p.add(i, s); for (int v = p.last; v > 1; v = p.ns[v].slink) { int sl = p.ns[v].slink; sdp[v] = dp[i + 1 - (p.ns[sl].len + p.ns[v].diff)]; if (p.ns[v].link != sl) { sdp[v] = sum(sdp[v], sdp[p.ns[v].link]); } dp[i + 1] = sum(dp[i + 1], sdp[v]); } if (i % 2 == 0) dp[i + 1] = 0; } cout << dp[n] << "\n"; }
#include <bits/stdc++.h> using namespace std; const int N(1000010), MOD(1e9 + 7); int n, cn1(1), las; int len[N], fail[N], f[N], son[N][26], dif[N], top[N], g[N]; char s[N], t[N]; inline int read() { register int x(0), t(1); register char ch(getchar()); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') t = -1, ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + (ch ^ '0'), ch = getchar(); return x * t; } inline void ins(register int x, register int i) { while (s[i - len[las] - 1] != s[i]) las = fail[las]; if (!son[las][x]) { len[++cn1] = len[las] + 2; register int q(fail[las]); while (s[i - len[q] - 1] != s[i]) q = fail[q]; fail[cn1] = son[q][x]; dif[cn1] = len[cn1] - len[fail[cn1]]; top[cn1] = dif[cn1] == dif[fail[cn1]] ? top[fail[cn1]] : fail[cn1]; son[las][x] = cn1; } las = son[las][x]; } int main() { register int i, j; scanf("%s", t + 1); n = strlen(t + 1); if (n & 1) { puts("0"); return 0; } for (i = 1; i <= n / 2; ++i) { s[(i << 1) - 1] = t[i]; s[i << 1] = t[n - i + 1]; } len[fail[0] = g[0] = 1] = -1; for (i = 1; i <= n; ++i) { ins(s[i] - 'a', i); for (j = las; j; j = top[j]) { f[j] = g[i - len[top[j]] - dif[j]]; if (top[j] != fail[j]) { f[j] += f[fail[j]]; if (f[j] >= MOD) f[j] -= MOD; } if (!(i & 1)) { g[i] += f[j]; if (g[i] >= MOD) g[i] -= MOD; } } } printf("%d\n", g[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const int maxn = 1000007; char str[maxn]; struct PAM { int next[maxn][26]; int fail[maxn]; int cnt[maxn]; int num[maxn]; int len[maxn]; int S[maxn]; long long dp[maxn]; int dif[maxn]; int anc[maxn]; long long sum[maxn]; int last, n, sz; int newnode(int l) { for (int i = 0; i < 26; i++) { next[sz][i] = 0; } cnt[sz] = 0; len[sz] = l; return sz++; } void init() { sz = 0; newnode(0); newnode(-1); last = 0; n = 0; S[n] = -1; fail[0] = 1; dp[0] = 1; } int getfail(int x) { while (S[n - len[x] - 1] != S[n]) x = fail[x]; return x; } void insert(char ch) { int c = ch - 'a'; S[++n] = c; int u = getfail(last); if (!next[u][c]) { int v = newnode(len[u] + 2); fail[v] = next[getfail(fail[u])][c]; next[u][c] = v; num[v] = num[fail[v]] + 1; } last = next[u][c]; cnt[last]++; dif[last] = len[last] - len[fail[last]]; anc[last] = (dif[last] == dif[fail[last]] ? anc[fail[last]] : fail[last]); int p = last; while (p) { if (anc[p] == fail[p]) { sum[p] = dp[n - len[p]]; } else { sum[p] = (sum[fail[p]] + dp[n - len[anc[p]] - dif[p]]) % mod; } if (n % 2 == 0) dp[n] = (dp[n] + sum[p]) % mod; p = anc[p]; } } long long count() { long long ret = 0; for (int i = sz - 1; i; i--) { cnt[fail[i]] += cnt[i]; ret = (ret + cnt[i]) % mod; } return ret; } } pam; int main() { scanf("%s", str); int len = strlen(str); pam.init(); for (int i = 1; i <= len / 2; i++) { pam.insert(str[i - 1]); pam.insert(str[len - i]); } printf("%lld\n", pam.dp[len]); }
#include <bits/stdc++.h> const int MaxN = 1000000; const int Mod = 1000000007; int N; int A[MaxN + 5]; int Pre[MaxN + 5], Par[MaxN + 5]; int F[MaxN + 5]; inline int add(int x, int y) { return (x += y) >= Mod ? x - Mod : x; } inline void inc(int &x, int y = 1) { x = add(x, y); } namespace PAM { int cnt, last; int ch[MaxN + 5][26], fail[MaxN + 5], len[MaxN + 5]; int diff[MaxN + 5]; void init() { cnt = last = 2; len[1] = -1; fail[1] = fail[2] = 1; Par[2] = 1; } inline int expand(int c, int id) { int p = last; while (A[id] != A[id - len[p] - 1]) p = fail[p]; if (ch[p][c] != 0) { last = ch[p][c]; return last; } ch[p][c] = ++cnt; last = cnt; len[cnt] = len[p] + 2; if (len[cnt] == 1) { fail[cnt] = 2; } else { do p = fail[p]; while (A[id] != A[id - len[p] - 1]); fail[cnt] = ch[p][c]; } diff[cnt] = len[cnt] - len[fail[cnt]]; if (diff[cnt] == diff[fail[cnt]]) Par[cnt] = Par[fail[cnt]]; else Par[cnt] = fail[cnt]; return last; } } // namespace PAM void init() { static char s[MaxN + 5]; scanf("%s", s + 1); N = (int)strlen(s + 1); for (int i = 1; i <= N; ++i) { if (i & 1) A[i] = s[(i + 1) >> 1] - 'a' + 1; else A[i] = s[N - (i >> 1) + 1] - 'a' + 1; } } void solve() { PAM::init(); F[0] = 1; for (int i = 1; i <= N; ++i) { int u = PAM::expand(A[i], i); for (int f = u; f != 0 && f != 2; f = Par[f]) { Pre[f] = F[i - (PAM::len[Par[f]] + PAM::diff[f])]; if (PAM::fail[f] != Par[f]) inc(Pre[f], Pre[PAM::fail[f]]); if (i % 2 == 0) inc(F[i], Pre[f]); } } printf("%d\n", F[N]); } int main() { init(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; long long gi() { long long ret = 0; char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); char c = ch == '-' ? getchar() : ch; while (c >= '0' && c <= '9') ret = ret * 10 + c - '0', c = getchar(); return ch == '-' ? -ret : ret; } const int N = 2000000 + 10; const int mo = 1e9 + 7; int n, last, len[N], fail[N], slink[N], link[N], diff[N], allc; char t[N], s[N]; long long f[N], g[N]; map<int, int> tr[N]; int ins(int x) { int p = last, c = s[x] - 'a'; while (p && s[x - len[p] - 1] != s[x]) p = fail[p]; if (s[x - len[p] - 1] != s[x]) return last = 0; if (!tr[p][c]) { int k = fail[p]; while (k && s[x - len[k] - 1] != s[x]) k = fail[k]; if (s[x - len[k] - 1] != s[x]) fail[++allc] = 0; else fail[++allc] = tr[k][c]; tr[p][c] = allc; len[allc] = len[p] + 2; diff[allc] = len[allc] - len[fail[allc]]; if (diff[allc] == diff[fail[allc]]) slink[allc] = slink[fail[allc]], g[allc] = g[fail[allc]]; else slink[allc] = fail[allc]; } return last = tr[p][c]; } int main() { scanf("%s", t + 1); n = strlen(t + 1); int p = n; for (int i = 1; i <= n / 2; i += 1) s[i * 2 - 1] = t[i], s[i * 2] = t[p--]; f[0] = 1; for (int i = 1; i <= n; i += 1) { for (int o = ins(i); o; o = slink[o]) { if (i & 1) break; g[o] = f[i - len[slink[o]] - diff[o]]; if (diff[o] == diff[fail[o]]) (g[o] += g[fail[o]]) %= mo; (f[i] += g[o]) %= mo; } } cout << f[n]; return 0; }
#include <bits/stdc++.h> namespace PAM { char s[1000015]; int fail[1000015], cnt, n, len[1000015], diff[1000015], slink[1000015], s_f[1000015], c[1000015][26], lst; void init() { fail[0] = 1; cnt = 1; len[1] = -1; s[0] = -1; n = 0; } int get(int x) { while (s[n] != s[n - len[x] - 1]) x = fail[x]; return x; } int insert(int x) { s[++n] = x; lst = get(lst); if (!c[lst][x]) { len[++cnt] = len[lst] + 2; fail[cnt] = c[get(fail[lst])][x]; diff[cnt] = len[cnt] - len[fail[cnt]]; if (diff[cnt] == diff[fail[cnt]]) slink[cnt] = slink[fail[cnt]]; else slink[cnt] = fail[cnt]; c[lst][x] = cnt; } return lst = c[lst][x]; } } // namespace PAM inline void add(int &x, const int y) { if (x + y < 1000000007) x += y; else x += y - 1000000007; } int len, f[1000015]; char tp[1000015], s[1000015]; int main() { scanf("%s", tp + 1); len = strlen(tp + 1); for (int i = 1; i <= len / 2; i++) s[i * 2 - 1] = tp[i], s[i * 2] = tp[len - i + 1]; PAM::init(); f[0] = 1; for (int i = 1; i <= len; i++) for (int cur = PAM::insert(s[i] - 'a'); PAM::len[cur] > 0; cur = PAM::slink[cur]) { PAM::s_f[cur] = f[i - (PAM::len[PAM::slink[cur]] + PAM::diff[cur])]; if (PAM::diff[cur] == PAM::diff[PAM::fail[cur]]) add(PAM::s_f[cur], PAM::s_f[PAM::fail[cur]]); if (!(i & 1)) add(f[i], PAM::s_f[cur]); } printf("%d\n", f[len]); }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10; const int mod = 1e9 + 7; int gi() { int x = 0, o = 1; char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') o = -1, ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x * o; } int ch[N][26], fail[N], len[N], tot = 0, now = 0, anc[N], diff[N], g[N], f[N]; char s[N], t[N]; void extend(int c, int n) { while (s[n - len[now] - 1] != s[n]) now = fail[now]; if (!ch[now][c]) { int v = ++tot; len[v] = len[now] + 2; int k = fail[now]; while (s[n - len[k] - 1] != s[n]) k = fail[k]; fail[v] = ch[k][c]; ch[now][c] = v; diff[v] = len[v] - len[fail[v]]; anc[v] = (diff[v] == diff[fail[v]]) ? anc[fail[v]] : fail[v]; } now = ch[now][c]; } int main() { scanf("%s", t); int n = strlen(t); for (int i = 1, p = 0; i <= n; i += 2, p++) s[i] = t[p]; for (int i = 2, p = n - 1; i <= n; i += 2, p--) s[i] = t[p]; s[n + 1] = '\0'; f[0] = 1; len[++tot] = -1; fail[0] = fail[1] = 1; for (int i = 1; i <= n; i++) { extend(s[i] - 'a', i); for (int k = now; k > 1; k = anc[k]) { g[k] = f[i - len[anc[k]] - diff[k]]; if (anc[k] != fail[k]) g[k] = (g[k] + g[fail[k]]) % mod; if (!(i & 1)) f[i] = (f[i] + g[k]) % mod; } } printf("%d\n", f[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; int n; long long ans[1000005], g[1000005]; char a[1000005], s[1000005]; struct PAM { int s[1000005], n; int root, las, ndsum; int ch[1000005][26], fail[1000005], len[1000005], pre[1000005], dif[1000005]; void init() { fail[0] = pre[0] = 1; fail[1] = 1; len[1] = -1; pre[0] = 1; s[0] = 26; ndsum = 1; las = 0; } int getfail(int x) { while (s[n] != s[n - len[x] - 1]) x = fail[x]; return x; } void add_pam(int w) { s[++n] = w; int tmp = getfail(las); if (!ch[tmp][w]) { int x = ++ndsum; len[x] = len[tmp] + 2; fail[x] = ch[getfail(fail[tmp])][w]; ch[tmp][w] = x; dif[x] = len[x] - len[fail[x]]; pre[x] = (dif[x] == dif[fail[x]]) ? pre[fail[x]] : fail[x]; } las = ch[tmp][w]; } } pam; int main() { scanf("%s", a + 1); n = strlen(a + 1); for (int i = 1; i <= n; ++i) s[i] = i % 2 ? a[i / 2 + 1] : a[n - i / 2 + 1]; pam.init(); ans[0] = 1; for (int i = 1; i <= n; ++i) { pam.add_pam(s[i] - 'a'); for (int j = pam.las; j; j = pam.pre[j]) { g[j] = ans[i - pam.len[pam.pre[j]] - pam.dif[j]]; if (pam.pre[j] != pam.fail[j]) g[j] = (g[j] + g[pam.fail[j]]) % mod; if (i % 2 == 0) ans[i] = (ans[i] + g[j]) % mod; } } printf("%d\n", ans[n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10; int n, fa[N], tr[N][26], len[N], d[N], pre[N], las, nodeid, dp[N], g[N]; char s[N], t[N]; void ins(int c, int m) { int u = las; while (t[m - len[u] - 1] != t[m]) u = fa[u]; int now = tr[u][c]; if (!now) { now = ++nodeid; int v = fa[u]; while (t[m - len[v] - 1] != t[m]) v = fa[v]; fa[now] = tr[v][c]; tr[u][c] = now; len[now] = len[u] + 2; d[now] = len[now] - len[fa[now]]; if (d[now] == d[fa[now]]) pre[now] = pre[fa[now]]; else pre[now] = fa[now]; } las = now; } inline int M(const int &o) { return o >= 1000000007 ? o - 1000000007 : o; } int main() { scanf("%s", s + 1); n = strlen(s + 1); if (n & 1) return puts("0"), 0; for (int i = 1; (i << 1) <= n; i++) t[i * 2 - 1] = s[i], t[i * 2] = s[n - i + 1]; fa[0] = fa[1] = 1, len[0] = 0, len[1] = -1, nodeid = 1; dp[0] = 1; for (int i = 1; i <= n; i++) { ins(t[i] - 'a', i); for (int j = las; j > 1; j = pre[j]) { g[j] = dp[i - len[pre[j]] - d[j]]; if (d[j] == d[fa[j]]) g[j] = M(g[j] + g[fa[j]]); if (!(i & 1)) dp[i] = M(dp[i] + g[j]); } } cout << dp[n] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000005; string s; struct PalindromicTree { int N, cur; vector<map<int, int>> next; vector<int> link, start, len, diff, slink; PalindromicTree() : N(0), cur(0) { node(); len[0] = -1; node(); } int node() { next.emplace_back(); link.emplace_back(0); start.emplace_back(0); len.emplace_back(0); diff.emplace_back(0); slink.emplace_back(0); return N++; } void add_letter(int idx) { while (true) { if (idx - len[cur] - 1 >= 0 && s[idx - len[cur] - 1] == s[idx]) break; cur = link[cur]; } if (next[cur].find(s[idx]) != next[cur].end()) { cur = next[cur][s[idx]]; return; } node(); next[cur][s[idx]] = N - 1; len[N - 1] = len[cur] + 2; start[N - 1] = idx - len[N - 1] + 1; if (len[N - 1] == 1) { link[N - 1] = diff[N - 1] = slink[N - 1] = 1; cur = N - 1; return; } while (true) { cur = link[cur]; if (idx - len[cur] - 1 >= 0 && s[idx - len[cur] - 1] == s[idx]) break; } link[N - 1] = next[cur][s[idx]]; diff[N - 1] = len[N - 1] - len[link[N - 1]]; if (diff[N - 1] == diff[link[N - 1]]) slink[N - 1] = slink[link[N - 1]]; else slink[N - 1] = link[N - 1]; cur = N - 1; } }; long long dp[MAXN], sans[MAXN]; int main() { std::ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); PalindromicTree pt; int i, cur; string str; cin >> str; for (i = 0; i < (int)str.size() / 2; i++) { s.push_back(str[i]); s.push_back(str[(int)str.size() - i - 1]); } dp[0] = 1; for (i = 1; i <= (int)s.size(); i++) { pt.add_letter(i - 1); for (cur = pt.cur; cur > 1; cur = pt.slink[cur]) { sans[cur] = dp[i - pt.len[pt.slink[cur]] - pt.diff[cur]]; if (pt.diff[cur] == pt.diff[pt.link[cur]]) sans[cur] = (sans[cur] + sans[pt.link[cur]]) % 1000000007; dp[i] = (dp[i] + sans[cur]) % 1000000007; } if (i & 1) dp[i] = 0; } cout << dp[(int)s.size()]; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 5, mod = 1e9 + 7; inline int add(int x, int y) { return x + y < mod ? x + y : x + y - mod; } inline int sub(int x, int y) { return x < y ? x - y + mod : x - y; } int n; char s[maxn], t[maxn]; int lst = 1, tot = 1, fa[maxn], len[maxn], ch[maxn][26], dif[maxn], slink[maxn], pos[maxn]; int f[maxn], g[maxn]; int extend(int i) { int x = lst, c = s[i] - 'a'; while (s[i - len[x] - 1] != s[i]) x = fa[x]; if (!ch[x][c]) { int k = ++tot, y = fa[x]; len[k] = len[x] + 2; while (s[i - len[y] - 1] != s[i]) y = fa[y]; fa[k] = ch[y][c]; dif[k] = len[k] - len[fa[k]]; ch[x][c] = k; if (dif[fa[k]] == dif[k]) slink[k] = slink[fa[k]]; else slink[k] = fa[k]; } return lst = ch[x][c]; } int main() { scanf("%s", t + 1); n = strlen(t + 1); if (n & 1) { puts("0"); return 0; } for (int i = 1; i <= n >> 1; ++i) s[i * 2 - 1] = t[i], s[i * 2] = t[n - i + 1]; len[1] = -1; fa[0] = 1; for (int i = 1; i <= n; ++i) pos[i] = extend(i); int ans = 0; f[0] = 1; for (int i = 1; i <= n; ++i) { int x = pos[i]; while (x > 1) { g[x] = f[i - len[slink[x]] - dif[x]]; if (dif[x] == dif[fa[x]]) g[x] = add(g[x], g[fa[x]]); if (~i & 1) f[i] = add(f[i], g[x]); x = slink[x]; } } printf("%d\n", f[n]); return 0; }