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#include <bits/stdc++.h> using namespace std; const int MAX_N = 2000005; int n, m; int in[MAX_N]; int inv[MAX_N]; int out[MAX_N], temp[MAX_N]; int pos2bckt[MAX_N]; int bckt[MAX_N], relabel[MAX_N]; int bpos[MAX_N]; void build() { for (int i = 0; i < n; i++) out[i] = i; sort(out, out + n, [](int a, int bckt) { return in[a] < in[bckt]; }); for (int i = 0, c = 0; i < n; i++) { bckt[i] = c; if (i + 1 == n || in[out[i]] != in[out[i + 1]]) c++; } for (int h = 1; h < n; h <<= 1) { for (int i = 0; i < n; i++) pos2bckt[out[i]] = bckt[i]; for (int i = n - 1; i >= 0; i--) bpos[bckt[i]] = i; for (int i = 0; i < n; i++) if (out[i] >= n - h) temp[bpos[bckt[i]]++] = out[i]; for (int i = 0; i < n; i++) if (out[i] >= h) temp[bpos[pos2bckt[out[i] - h]]++] = out[i] - h; for (int i = 0, c = 0; i < n; i++) { relabel[i] = c; if (i + 1 == n) break; if (bckt[i] != bckt[i + 1]) c++; else if (temp[i + 1] >= n - h || temp[i] >= n - h) c++; else if (pos2bckt[temp[i + 1] + h] != pos2bckt[temp[i] + h]) c++; } memcpy(out, temp, sizeof(temp[0]) * n); memcpy(bckt, relabel, sizeof(relabel[0]) * n); } } char str[MAX_N]; int cnt[MAX_N], mmn[MAX_N], rmmn[MAX_N]; int main() { scanf("%s", str); while (str[n]) n++; for (int i = 0; i < n; i++) in[i] = str[i] == ')'; for (int i = 0; i < n; i++) in[i + n] = in[i]; int step = 0, mn = 0; for (int i = 0; i < n; i++) { if (in[i] == 1) step--; else step++; cnt[i + 1] = step; if (mn > step) mn = step; mmn[i + 1] = mn; } int p = step; for (int i = n - 1; i >= 0; i--) { if (in[i] == 1) step++; else step--; if (p > step) p = step; rmmn[i] = p; } n *= 2; build(); n /= 2; int c[2] = { 0, }; for (int i = 0; i < n; i++) c[in[i]]++; if (c[0] >= c[1]) { for (int i = 0; i < 2 * n; i++) { if (out[i] < n && rmmn[out[i]] - cnt[out[i]] >= 0 && cnt[n] - cnt[out[i]] + mmn[out[i]] >= 0) { for (int j = 0; j < n; j++) str[j] = in[out[i] + j] == 0 ? '(' : ')'; for (int j = n, k = 0; k < c[0] - c[1]; j++, k++) str[j] = ')'; break; } } } else { for (int i = 0; i < 2 * n; i++) { if (out[i] < n && rmmn[out[i]] - cnt[out[i]] >= c[0] - c[1] && cnt[n] - cnt[out[i]] + mmn[out[i]] >= c[0] - c[1]) { for (int j = 0; j < c[1] - c[0]; j++) str[j] = '('; for (int j = c[1] - c[0], k = 0; k < n; j++, k++) str[j] = in[out[i] + k] == 0 ? '(' : ')'; break; } } } puts(str); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; char s[1000100]; int a[2000100], add[8000100], min_[8000100], ans[2000100]; int rk[2000100], rkk[2000100], cnt[2000100], tp[2000100], tpp[2000100]; void pushdown(int rt) { add[rt << 1] += add[rt]; min_[rt << 1] += add[rt]; add[rt << 1 | 1] += add[rt]; min_[rt << 1 | 1] += add[rt]; add[rt] = 0; } int query(int L, int R, int l, int r, int rt) { if (L <= l && r <= R) return min_[rt]; int m = l + r >> 1, ans = 998244353; pushdown(rt); if (m >= L) ans = min(ans, query(L, R, l, m, rt << 1)); if (m < R) ans = min(ans, query(L, R, m + 1, r, rt << 1 | 1)); return ans; } void pushup(int rt) { min_[rt] = min(min_[rt << 1], min_[rt << 1 | 1]); } void build(int l, int r, int rt) { if (l == r) { min_[rt] = a[l]; return; } int m = l + r >> 1; build(l, m, rt << 1); build(m + 1, r, rt << 1 | 1); pushup(rt); } void update(int L, int R, int c, int l, int r, int rt) { if (L <= l && r <= R) { min_[rt] += c; add[rt] += c; return; } pushdown(rt); int m = l + r >> 1; if (m >= L) update(L, R, c, l, m, rt << 1); if (m < R) update(L, R, c, m + 1, r, rt << 1 | 1); pushup(rt); } int main() { scanf("%s", s); int n = strlen(s); int i, t, sum = 0, cntl = 0, cntr = 0; for (i = 0; i < n; i++) { if (s[i] == '(') t = 1, cntl++; else t = -1, cntr++; sum += t; a[n + i] = sum; } build(1, n << 1, 1); int del, temp; if (cntl < cntr) del = cntr - cntl; else del = 0; for (i = 0; i < n; i++) { if (query(n - i, (n << 1) - i - 1, 1, n << 1, 1) + del < 0) ans[(n - i) % n] = 0; else ans[(n - i) % n] = 1; if (s[n - i - 1] == '(') temp = 1; else temp = -1; if (i + 1 != n) update(n - i - 1, (n << 1) - i - 2, temp, 1, n << 1, 1); } for (i = 0; i < n; i++) { cnt[s[i] - 39]++; } for (i = 1; i <= 2; i++) { cnt[i] += cnt[i - 1]; } for (i = n - 1; i >= 0; i--) { tpp[--cnt[s[i] - 39]] = i; } rk[tpp[0]] = 1; for (i = 1; i < n; i++) { if (s[tpp[i]] == s[tpp[i - 1]]) rk[tpp[i]] = rk[tpp[i - 1]]; else rk[tpp[i]] = rk[tpp[i - 1]] + 1; } int j; for (i = 1; i < n; i <<= 1) { if (rk[tpp[n - 1]] == n) break; for (j = 0; j < n; j++) { tp[j] = (tpp[j] + n - i) % n; } memset(cnt, 0, sizeof(cnt)); for (j = 0; j < n; j++) { cnt[rk[j]]++; } for (j = 1; j <= n; j++) { cnt[j] += cnt[j - 1]; } for (j = n - 1; j >= 0; j--) { tpp[--cnt[rk[tp[j]]]] = tp[j]; } rkk[tpp[0]] = 1; for (j = 1; j < n; j++) { if (rk[tpp[j]] == rk[tpp[j - 1]] && rk[(tpp[j] + i) % n] == rk[(tpp[j - 1] + i) % n]) rkk[tpp[j]] = rkk[tpp[j - 1]]; else rkk[tpp[j]] = rkk[tpp[j - 1]] + 1; } memcpy(rk, rkk, sizeof(rk)); } int fin; for (i = 0; i < n; i++) { if (ans[tpp[i]]) { fin = tpp[i]; break; } } if (cntl < cntr) { while (cntl < cntr) putchar('('), cntl++; for (i = 0; i < n; i++) putchar(s[(i + fin) % n]); } else { for (i = 0; i < n; i++) putchar(s[(i + fin) % n]); while (cntr < cntl) putchar(')'), cntr++; } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; static constexpr size_t maxlen = 1000000; int main() { static char text[maxlen]; size_t len = fread(text, 1, maxlen, stdin); while (len && text[len - 1] < ' ') --len; static unsigned deque[maxlen]; size_t begin = 0, end = 0; int balance = 0; for (size_t i = 0; i < len; ++i) { if (text[i] == '(') ++balance, deque[end++] = i; else --balance, end && --end; } size_t start = -1; for (size_t i = 0, j = 1; i < len; ++i) { while (begin < end && deque[begin % len] < i) ++begin; for (; j <= i; ++j) { if (text[j - 1] == '(') deque[end++ % len] = j - 1 + len; else if (begin < end) --end; } if (end - begin > max(balance, 0)) continue; if (start == -1) { start = i; continue; } size_t k = 0; while (k < len && text[(i + k) % len] == text[(start + k) % len]) ++k; if (k == len) break; else if (text[(i + k) % len] > text[(start + k) % len]) i += k; else start = max(start + k, i), swap(start, i); } while (balance < 0) putchar('('), ++balance; fwrite(text + start, 1, len - start, stdout); fwrite(text, 1, start, stdout); while (balance > 0) putchar(')'), --balance; putchar('\n'); }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2111111; char buf[maxn]; int sum[maxn]; bool ok[maxn]; int order[maxn]; template <typename T> void debug(T a[], int n) { for (int i = 1; i <= n; ++i) { cout << setw(3) << a[i]; } puts(""); } void fix(int& i, int n) { while (!ok[i] && i <= n) { ++i; } } int run(char s[], int m) { int n = m >> 1; int i = 1, j = 2, k = 0; fix(i, n); j = i + 1; fix(j, n); while (j <= n && i <= n) { for (k = 0; k < n; ++k) { if (s[i + k] ^ s[j + k]) { break; } } if (s[i + k] > s[j + k]) { i += k + 1; fix(i, n); } else { j += k + 1; fix(j, n); } if (j == i) { ++j; fix(j, n); } } return std::min(i, j); } int main() { for (int i = 1; i < 100; ++i) { order[i] = i; } scanf("%s", buf + 1); int n = std::strlen(buf + 1); int A, B; A = B = 0; for (int i = 1; i <= n; ++i) { buf[i + n] = buf[i]; if (buf[i] == '(') { ++A; } else { ++B; } } int m = n << 1; for (int i = 1; i <= m; ++i) { if (buf[i] == '(') { sum[i] = 1; } else { sum[i] = -1; } sum[i] += sum[i - 1]; } static int q[maxn]; int front, rear; front = rear = 0; static int min[maxn]; int add = 0; if (A < B) { add = B - A; } for (int i = 1; i <= m; ++i) { if (front < rear && q[front] + n <= i) { ++front; } while (front < rear && sum[q[rear - 1]] >= sum[i]) { --rear; } q[rear++] = i; min[i] = sum[q[front]]; } for (int i = 1; i <= n; ++i) { if (add + min[i + n - 1] >= sum[i - 1]) { ok[i] = true; } } int index = run(buf, m); auto print = [](char ch, int n) { while (n--) { putchar(ch); } }; if (A < B) { print('(', B - A); } for (int i = index; i < index + n; ++i) { putchar(buf[i]); } if (B < A) { print(')', A - B); } puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1000005; const long long bas = 131, mod = 2147483647; long long pw[N], hsh[2 * N], num[2 * N], fsum[2 * N], que[2 * N]; long long dif, len, c1, c2, f, b, h; char rd[N]; int main() { scanf("%s", rd), len = strlen(rd); for (int i = 0; i < len; i++) num[i + 1] = num[i + 1 + len] = ((rd[i] == '(') ? 1 : 2), (rd[i] == '(') ? c1++ : c2++; pw[0] = 1, f = 1, dif = abs(c1 - c2); for (int i = 1; i <= len; i++) pw[i] = pw[i - 1] * bas % mod; for (int i = 1; i <= 2 * len; i++) { fsum[i] = fsum[i - 1] + ((num[i] == 1) ? 1 : -1); hsh[i] = (hsh[i - 1] * bas + num[i]) % mod; } for (int i = 1; i < len; i++) { while (f <= b && fsum[i] <= fsum[que[b]]) b--; que[++b] = i; } for (int i = len; i <= 2 * len; i++) { while (f <= b && fsum[i] <= fsum[que[b]]) b--; que[++b] = i; int l = f, r = b, ans = 0; while (l <= r) { int mid = (l + r) / 2; if (que[mid] + len < i + 1) l = mid + 1; else r = mid - 1, ans = mid; } bool i1 = fsum[i - len] - fsum[que[ans]] > dif; bool i2 = fsum[que[ans]] - fsum[i - len] < 0; if ((c1 <= c2 && i1) || (c1 >= c2 && i2)) continue; l = 1, r = len, ans = 0; while (l <= r) { int mid = (l + r) / 2; long long hsh1 = ((hsh[i - len + mid] - hsh[i - len] * pw[mid] % mod) % mod + mod) % mod; long long hsh2 = ((hsh[h - 1 + mid] - hsh[h - 1] * pw[mid] % mod) % mod + mod) % mod; if (hsh1 != hsh2) r = mid - 1; else l = mid + 1, ans = mid; } if (num[i - len + ans + 1] < num[h + ans] || !h) h = i - len + 1; } if (c1 < c2) for (int j = 1; j <= dif; j++) printf("("); for (int j = 1; j <= len; j++) (num[j + h - 1] == 1) ? printf("(") : printf(")"); if (c1 > c2) for (int j = 1; j <= dif; j++) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/stack:16777216") using namespace std; const int INF = 1000000000; const int MAX = 1000007; const int MAX2 = 2000; const int BASE = 1000000000; char s[MAX]; int v[MAX]; set<pair<int, int> > S; int cur = 0; int p[MAX], cnt[MAX], c[MAX]; int pn[MAX], cn[MAX]; int main() { scanf("%s", s); int n = strlen(s); int val = 0; for (int i = (0); i < (n); ++i) { if (s[i] == '(') { ++val; } else { --val; } v[i] = val; S.insert(make_pair(val, i)); } vector<int> ids; int M = -INF; for (int it = (0); it < (n); ++it) { int V = min(S.begin()->first + cur, 0); if (V > M) { ids.clear(); } if (V >= M) { M = V; ids.push_back((n - it) % n); } int id = n - it - 1; S.erase(make_pair(v[id], id)); if (s[id] == '(') { ++cur; v[id] = 1 - cur; S.insert(make_pair(v[id], id)); } else { --cur; v[id] = -1 - cur; S.insert(make_pair(v[id], id)); } } memset(cnt, 0, sizeof(cnt)); for (int i = (0); i < (n); ++i) ++cnt[s[i] - '(']; cnt[1] += cnt[0]; for (int i = (0); i < (n); ++i) p[--cnt[s[i] - '(']] = i; c[p[0]] = 0; int classes = 1; for (int i = 1; i < n; ++i) { if (s[p[i]] != s[p[i - 1]]) ++classes; c[p[i]] = classes - 1; } for (int h = 0; (1 << h) < n; ++h) { for (int i = (0); i < (n); ++i) { pn[i] = p[i] - (1 << h); if (pn[i] < 0) pn[i] += n; } memset(cnt, 0, sizeof(cnt)); for (int i = 0; i < n; ++i) ++cnt[c[pn[i]]]; for (int i = 1; i < classes; ++i) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; --i) p[--cnt[c[pn[i]]]] = pn[i]; cn[p[0]] = 0; classes = 1; for (int i = 1; i < n; ++i) { int mid1 = (p[i] + (1 << h)) % n, mid2 = (p[i - 1] + (1 << h)) % n; if (c[p[i]] != c[p[i - 1]] || c[mid1] != c[mid2]) ++classes; cn[p[i]] = classes - 1; } memcpy(c, cn, n * sizeof(int)); } int cl = INF; int id; for (int i = (0); i < (ids.size()); ++i) { if (cn[ids[i]] < cl) { cl = cn[ids[i]]; id = ids[i]; } } string R = ""; for (int i = (0); i < (abs(M)); ++i) { R += '('; } for (int i = (id); i < (n); ++i) { R += s[i]; } for (int i = (0); i < (id); ++i) { R += s[i]; } val = 0; for (int i = (0); i < (R.size()); ++i) { if (R[i] == '(') ++val; else --val; } for (int i = (0); i < (val); ++i) { R += ')'; } printf("%s", R.c_str()); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; int n, m, l, r, T, x, mmh, la, pos; char a[2000003], c[2000003]; int s[2000003], SS = 0, A, len; int v[2000003], sa[2000003], q[2000003], ran[2000003], st[2000003], y[2000003], P[2000003]; bool bo[2000003]; int read_p, read_ca; inline int read() { read_p = 0; read_ca = getchar(); while (read_ca < '0' || read_ca > '9') read_ca = getchar(); while (read_ca >= '0' && read_ca <= '9') read_p = read_p * 10 + read_ca - 48, read_ca = getchar(); return read_p; } inline void gr(int x) { ran[sa[1]] = 1; for (register int i = 2; i <= n; i++) ran[sa[i]] = ran[sa[i - 1]] + (s[sa[i]] != s[sa[i - 1]] || s[P[sa[i] + x]] != s[P[sa[i - 1] + x]]); for (int i = 1; i <= n; i++) s[i] = ran[i]; m = max(ran[sa[n]], m); } inline void gv() { for (int i = 0; i <= m; i++) v[i] = 0; for (int i = 1; i <= n; i++) v[s[i]]++; for (int i = 1; i <= m; i++) v[i] += v[i - 1]; } inline void gsa() { m = 2; gv(); for (int i = n; i >= 1; i--) sa[v[s[i]]--] = i; gr(0); for (int i = 1; i < n; i <<= 1) { gv(); for (int j = 1; j <= n; j++) y[j] = (sa[j] + n - i - 1) % n + 1; for (register int j = n; j >= 1; j--) q[v[s[y[j]]]--] = y[j], SS++; for (int j = 1; j <= n; j++) sa[j] = q[j]; gr(i); if (ran[sa[n]] == n) return; } } inline int min(int a, int b) { return a < b ? a : b; } int main() { int i; scanf("%s", a + 1); n = strlen(a + 1); for (i = 1; i <= n; i++) a[i] = a[i] == ')', s[i + n] = a[i + n] = s[i] = a[i], P[i] = P[i + n] = i; gsa(); v[0] = 0; for (i = 1; i <= n * 2; i++) sa[i], v[i] = v[i - 1] + (a[i] ? -1 : 1); int l = 0, r = -1; for (i = 1; i <= n * 2; i++) { while (l <= r && st[l] < i - n + 1) l++; while (l <= r && v[i] <= v[st[r]]) r--; st[++r] = i; if (i >= n) q[i - n] = v[st[l]]; } mmh = min(v[n], 0); for (i = 1; i <= n * 2; i++) if (sa[i] <= n) { pos = sa[i] - 1; if (q[pos] >= v[pos] + mmh) break; } pos++; for (i = pos; i <= n; i++) c[i - pos + 1] = a[i]; for (i = 1; i < pos; i++) c[n - pos + i + 1] = a[i]; for (pos = 0, i = 1; i <= n; i++) pos += a[i] ? -1 : 1; if (pos < 0) for (i = 0; i < -pos; i++) putchar('('); for (i = 1; i <= n; i++) putchar(c[i] ? ')' : '('); if (pos > 0) for (i = 0; i < pos; i++) putchar(')'); }
7
CPP
#include <bits/stdc++.h> using namespace std; int n, s[2000100]; bool vis[2000100]; char t[2000100]; int sa[2000100], rnk[2000100], tmp[2000100], cnt[2000100]; void build(char *s) { int n = strlen(s) + 1, m = 256; int *x = rnk, *y = tmp, *z; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i] = s[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[i]]] = i; for (int j = 1, p = 1; p < n; j <<= 1, m = p) { p = 0; for (int i = n - j; i < n; i++) y[p++] = i; for (int i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[y[i]]]] = y[i]; z = x, x = y, y = z; x[sa[0]] = 0, p = 1; for (int i = 1; i < n; i++) x[sa[i]] = (y[sa[i]] == y[sa[i - 1]] && y[sa[i] + j] == y[sa[i - 1] + j]) ? p - 1 : p++; } for (int i = 0; i < n; i++) rnk[sa[i]] = i; } int main() { scanf("%s", t + 1); n = strlen(t + 1); int mn = 0; for (int i = 1; i <= n; i++) { s[i] = s[i - 1]; if (t[i] == '(') s[i]++; else s[i]--; mn = min(mn, s[i]); } for (int i = 1; i <= n; i++) t[n + i] = t[i], s[i + n] = s[i] + s[n]; int dn = 0; if (s[n] < 0) dn = -s[n]; build(t + 1); multiset<int> S; for (int i = n + 1; i <= 2 * n; i++) S.insert(s[i]); int k, p = 1e9; for (int i = n; i >= 0; i--) { int t = *S.begin(); S.erase(S.find(s[i + n])); if (t - s[i] + dn >= 0) { if (rnk[i] < p) p = rnk[i], k = i + 1; } S.insert(s[i]); } int sum = s[n]; if (sum < 0) for (int i = sum; i < 0; i++) putchar('('); for (int i = 0; i < n; i++) putchar(t[k + i]); if (sum > 0) for (int i = 0; i < sum; i++) putchar(')'); return 0; }
7
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000") using namespace std; int d[1 << 22], e[1 << 22]; char s[2000100]; int h, m[2000100], p[2000100], a[2000100], b[2 * 2000100]; void sfa() { int i, j, n; for (n = 0; s[n]; m[n] = n, a[n] = s[n], n++) ; for (h = 0, j = 0; j < n; h = h * 2 + !h) { for (i = 0; i < n + 256; b[i] = 0, i++) ; for (i = 0; i < n; ++b[a[i]], i++) ; for (i = 0; i < n + 256; b[i + 1] += b[i], i++) ; for (i = n; i--;) if (m[i] >= h) p[--b[a[m[i] - h]]] = m[i] - h; for (i = n - h; i < n; p[--b[a[i]]] = i, i++) ; for (i = 0; i < n; m[i] = p[i], b[i] = a[i], b[n + i] = 0, i++) ; for (j = 1, i = 0; i < n; a[m[i]] = j, j += b[m[i]] < b[m[i + 1]] || b[m[i] + h] < b[m[i + 1] + h], i++) ; } } int getm(int i, int j) { int k = 0, l = 0; for (i += h, j += h; i <= j; i = (i + 1) / 2, j = (j - 1) / 2) { if (i & 1) a[k++] = i; if (~j & 1) b[l++] = j; } for (; l > 0; l--, a[k++] = b[l]) ; for (l = 2 * 2000100, j = 0, i = 0; i < k; i++) { l = min(l, j + d[a[i]]); j += e[a[i]]; } return l; } int main() { int n, i, j, k, b; scanf("%s", s); n = strlen(s); for (i = 0; i < n; s[i + n] = s[i], i++) ; sfa(); b = 0; for (i = 0; i < n; i++) if (s[i] == '(') b++; else b--; for (h = 1; h < 2 * n; h *= 2) ; for (i = 0; i < 2 * h; d[i] = 2 * 2000100, i++) ; for (i = 0; i < 2 * n; i++) if (s[i] == '(') { d[h + i] = 1; e[h + i] = 1; } else { d[h + i] = -1; e[h + i] = -1; } for (i = h - 1; i > 0; i--) { d[i] = min(d[2 * i], e[2 * i] + d[2 * i + 1]); e[i] = e[2 * i] + e[2 * i + 1]; } for (i = 0; i < 2 * n; i++) { j = m[i]; if (j < n) { k = getm(j, j + n - 1); if (b < 0) k -= b; if (k >= 0) break; } } if (b < 0) for (i = 0; i < -b; printf("("), i++) ; for (i = 0; i < n; printf("%c", s[i + j]), i++) ; if (b > 0) for (i = 0; i < b; printf(")"), i++) ; printf("\n"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; string st; long bal[1 << 20]; long minsuf[1 << 20], minpref[1 << 20]; long val1, val2; long n; long s[1 << 20]; long p[1 << 20], pn[1 << 20], cnt[1 << 20], c[1 << 20], cn[1 << 20]; long classes, mid1, mid2; long ans, k; long open, clos; long blen, bc, tlen, nopen; int main() { ios_base::sync_with_stdio(0); cin >> st; n = st.size(); for (int i = 0; i < n; i++) if (st[i] == '(') s[i] = 0; else s[i] = 1; for (int i = 0; i < n; i++) ++cnt[s[i]]; for (int i = 1; i < 100; i++) cnt[i] += cnt[i - 1]; for (int i = 0; i < n; i++) { p[--cnt[s[i]]] = i; } c[p[0]] = 0; classes = 1; for (int i = 1; i < n; i++) { if (s[p[i]] != s[p[i - 1]]) ++classes; c[p[i]] = classes - 1; } for (int h = 0; (1 << h) < n; ++h) { for (int i = 0; i < n; i++) { pn[i] = p[i] - (1 << h); if (pn[i] < 0) pn[i] += n; } for (int i = 0; i <= classes; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[c[pn[i]]]++; for (int i = 1; i < classes; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; --i) p[--cnt[c[pn[i]]]] = pn[i]; cn[p[0]] = 0; classes = 1; for (int i = 1; i < n; i++) { mid1 = p[i] + (1 << h); mid2 = p[i - 1] + (1 << h); mid1 %= n; mid2 %= n; if (c[p[i]] != c[p[i - 1]] || c[mid1] != c[mid2]) ++classes; cn[p[i]] = classes - 1; } for (int i = 0; i <= n; i++) c[i] = cn[i]; } for (int i = 0; i < st.size(); i++) { if (st[i] == '(') bal[i + 1] = bal[i] + 1; else bal[i + 1] = bal[i] - 1; minpref[i + 1] = min(minpref[i], bal[i + 1]); if (st[i] == '(') ++open; else ++clos; } minsuf[st.size()] = bal[st.size()]; for (int i = st.size() - 1; i + 1; --i) { minsuf[i] = min(minsuf[i + 1], bal[i]); } blen = 1e9; bc = 0; for (int i = 0; i < st.size(); i++) { val1 = minsuf[i + 1] - bal[i]; val2 = minpref[i] + (bal[st.size()] - bal[i]); val1 = min(val1, val2); if (val1 >= 0) { tlen = st.size() + (open - clos); if (tlen < blen || (tlen == blen && c[i] < c[bc])) { blen = tlen; bc = i; } } else { nopen = open - val1; tlen = st.size() + (nopen - clos); if (tlen < blen || (tlen == blen && c[i] < c[bc])) { blen = tlen; bc = i; } } } string ts = ""; for (int i = bc; i < st.size(); i++) ts += st[i]; for (int i = 0; i < bc; i++) ts += st[i]; long mb = 0; long qb = 0; for (int i = 0; i < ts.size(); i++) { if (ts[i] == '(') qb++; else qb--; if (qb < mb) mb = qb; } reverse(ts.begin(), ts.end()); if (mb < 0) { mb *= -1; for (int i = 0; i < mb; i++) ts += '('; } reverse(ts.begin(), ts.end()); qb = 0; for (int i = 0; i < ts.size(); i++) { if (ts[i] == '(') ++qb; else --qb; } for (int i = 0; i < qb; i++) ts += ')'; cout << ts << endl; cin.get(); cin.get(); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2000000 + 10; char s[N]; int n, pre[N]; const int INF = 1e9 + 7; int mx[N << 2], mn[N << 2]; vector<int> vec; void build(int l, int r, int rt) { if (l == r) { mn[rt] = mx[rt] = pre[l]; return; } int mid = (l + r) >> 1; build(l, mid, rt << 1); build(mid + 1, r, rt << 1 | 1); mx[rt] = max(mx[rt << 1], mx[rt << 1 | 1]); mn[rt] = min(mn[rt << 1], mn[rt << 1 | 1]); } int querymin(int l, int r, int rt, int L, int R) { if (L <= l && r <= R) return mn[rt]; int mid = (l + r) >> 1, ans = N; if (L <= mid) ans = min(ans, querymin(l, mid, rt << 1, L, R)); if (R > mid) ans = min(ans, querymin(mid + 1, r, rt << 1 | 1, L, R)); return ans; } int querymax(int l, int r, int rt, int L, int R) { if (L <= l && r <= R) return mx[rt]; int mid = (l + r) >> 1, ans = -N; if (L <= mid) ans = max(ans, querymax(l, mid, rt << 1, L, R)); if (R > mid) ans = max(ans, querymax(mid + 1, r, rt << 1 | 1, L, R)); return ans; } char str[N]; int height[N], rk[N], sa[N], cc[N], t1[N], t2[N]; bool cmp(int *y, int a, int b, int k) { int a1 = y[a], a2 = a + k >= n ? -1 : y[a + k]; int b1 = y[b], b2 = b + k >= n ? -1 : y[b + k]; return a1 == b1 && a2 == b2; } void buildSA(int m) { int *x = t1, *y = t2; for (int i = 0; i < m; i++) cc[i] = 0; for (int i = 0; i < n; i++) cc[x[i] = str[i]]++; for (int i = 1; i < m; i++) cc[i] += cc[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cc[x[i]]] = i; for (int k = 1; k <= n; k <<= 1) { int p = 0; for (int i = n - k; i < n; i++) y[p++] = i; for (int i = 0; i < n; i++) if (sa[i] >= k) y[p++] = sa[i] - k; for (int i = 0; i < m; i++) cc[i] = 0; for (int i = 0; i < n; i++) cc[x[y[i]]]++; for (int i = 1; i < m; i++) cc[i] += cc[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cc[x[y[i]]]] = y[i]; swap(x, y); m = 1, x[sa[0]] = 0; for (int i = 1; i < n; i++) { x[sa[i]] = cmp(y, sa[i - 1], sa[i], k) ? m - 1 : m++; } if (m >= n) break; } } void buildH() { for (int i = 0; i < n; i++) rk[sa[i]] = i; int k = 0; height[0] = 0; for (int i = 0; i < n; i++) { if (!rk[i]) continue; if (k) k--; int j = sa[rk[i] - 1]; while (s[i + k] == s[j + k]) k++; height[rk[i]] = k; } } void init() { for (int i = 1; i <= n * 2; i++) str[i - 1] = s[i]; n = n * 2; buildSA(1000); buildH(); n = n / 2; } int main() { scanf("%s", s + 1); n = strlen(s + 1); for (int i = 1; i <= n; i++) s[i + n] = s[i]; for (int i = 1; i <= 2 * n; i++) pre[i] = pre[i - 1] + (s[i] == '(' ? 1 : -1); build(1, 2 * n, 1); init(); int need = pre[n]; pair<int, int> bst = make_pair(INF, 0); for (int i = 1; i <= n; i++) { int cnt = 0, cntLef = 0; int m2 = querymin(1, n << 1, 1, i, i + n - 1); if (need <= 0) { cnt = -need + max(max(-(m2 - pre[i - 1] - need), pre[i + n - 1] - m2), 0) * 2; cntLef = -need + max(max(-(m2 - pre[i - 1] - need), pre[i + n - 1] - m2), 0); } else { cnt = +need + max(max(-(m2 - pre[i - 1]), pre[i + n - 1] - m2 - need), 0) * 2; cntLef = max(max(-(m2 - pre[i - 1]), pre[i + n - 1] - m2 - need), 0); } if (make_pair(cnt, cntLef) < bst) { bst = make_pair(cnt, cntLef); vec.clear(); } if (make_pair(cnt, cntLef) == bst) { vec.push_back(i); } } int mn = N; int st = 0; for (auto x : vec) if (rk[x - 1] < mn) { mn = rk[x - 1]; st = x; } for (int i = 1; i <= bst.second; i++) printf("("); for (int i = st; i < st + n; i++) printf("%c", s[i]); for (int i = 1; i <= bst.first - bst.second; i++) printf(")"); printf("\n"); }
7
CPP
#include <bits/stdc++.h> using namespace std; const int INF = (int)1e9; struct SegmTree { vector<int> t; int sz; SegmTree(const vector<int>& a) { sz = 1; while (sz < (int)a.size()) sz *= 2; t.assign(sz * 2, INF); for (int v = sz; v < sz + (int)a.size(); ++v) { t[v] = a[v - sz]; } for (int v = sz - 1; v > 0; --v) { t[v] = min(t[v * 2], t[v * 2 + 1]); } } int get_min(int l, int r) { int res = INF; l += sz; r += sz; while (l <= r) { res = min(res, t[l]); res = min(res, t[r]); l = (l + 1) / 2; r = (r - 1) / 2; } return res; } }; const double EPS = 1e-9; const int PP = 7; const int MAXN = 1 << 21; const int MOD[2] = {(int)1e9 + 7, (int)1e9 + 17}; void add(int& x, int y, int mod) { ((x += y) >= mod) && (x -= mod); } int mul(int& x, int y, int mod) { return x * 1ll * y % mod; } struct Hash { static const int SZ = 2; int v[SZ]; Hash(int x = 0) { for (int i = 0; i < (int)SZ; ++i) v[i] = x; } void operator+=(const Hash& h) { for (int i = 0; i < (int)SZ; ++i) { add(v[i], h.v[i], MOD[i]); } } void operator-=(const Hash& h) { for (int i = 0; i < (int)SZ; ++i) { add(v[i], -h.v[i] + MOD[i], MOD[i]); } } void operator*=(const Hash& h) { for (int i = 0; i < (int)SZ; ++i) { v[i] = mul(v[i], h.v[i], MOD[i]); } } void operator*=(const int& h) { for (int i = 0; i < (int)SZ; ++i) { v[i] = mul(v[i], h, MOD[i]); } } void print() const { fprintf(stderr, "%d %d\n", v[0], v[1]); } }; Hash operator*(const Hash& h1, const Hash& h2) { Hash h = h1; h *= h2; return h; } Hash operator*(const Hash& h1, const int& h2) { Hash h = h1; h *= h2; return h; } Hash operator+(const Hash& h1, const Hash& h2) { Hash h = h1; h += h2; return h; } Hash operator-(const Hash& h1, const Hash& h2) { Hash h = h1; h -= h2; return h; } bool operator==(const Hash& h1, const Hash& h2) { return h1.v[0] == h2.v[0] && h1.v[1] == h2.v[1]; } bool operator!=(const Hash& h1, const Hash& h2) { return !(h1.v[0] == h2.v[0] && h1.v[1] == h2.v[1]); } bool operator<(const Hash& h1, const Hash& h2) { return h1.v[0] < h2.v[0] || (h1.v[0] == h2.v[0] && h1.v[1] < h2.v[1]); } Hash P[MAXN]; struct Solver { vector<Hash> pref; vector<Hash> P; string s; Solver(const string& s) : s(s) { P.resize(MAXN); P[0] = Hash(1); for (int i = 1; i < MAXN; ++i) { P[i] = PP * P[i - 1]; } pref.assign(((int)(s).size()) + 1, 0); for (int i = 0; i < (int)((int)(s).size()); ++i) { int c = (s[i] == ')') + 1; Hash cur = P[i] * c; pref[i + 1] = pref[i] + cur; } } Hash hash(int l, int r) { Hash res = pref[r + 1] - pref[l]; res *= P[MAXN - r - 1]; return res; } }; int nn; Solver text_hashes("dfdgggd"); string text; bool weird_cmp(int l, int r) { int maxlen = nn - max(l, r); int left = 0; int right = maxlen + 1; while (right - left > 1) { int mid = (right + left) / 2; if (text_hashes.hash(l, mid + l - 1) == text_hashes.hash(r, mid + r - 1)) left = mid; else right = mid; } return text[l + left] < text[r + left]; } void solve(string s) { int n = (int)s.size(); nn = 2 * n; text = s + s + char(0) + char(0) + char(0); vector<int> pref(2 * n + 1, 0); for (int i = 1; i <= 2 * n; i++) pref[i] = pref[i - 1] + (text[i - 1] == '(' ? 1 : -1); SegmTree Min(pref); vector<int> minbal(n); for (int i = 0; i < n; i++) { int l = i + 1; int r = i + n; int cnt = Min.get_min(l, r) - pref[i]; if (cnt > 0) cnt = 0; minbal[i] = cnt; } vector<int> cands; int allbest = *max_element(minbal.begin(), minbal.end()); assert(allbest <= 0); for (int i = 0; i < n; i++) if (minbal[i] == allbest) cands.push_back(i); text_hashes = Solver(text); int pos = *min_element(cands.begin(), cands.end(), weird_cmp); string ans = string(-allbest, '('); ans += text.substr(pos, n); int cntbal = 0; for (int i = 0; i < (int)ans.size(); i++) { if (ans[i] == '(') cntbal++; else if (ans[i] == ')') cntbal--; else assert(0); assert(cntbal >= 0); } ans += string(cntbal, ')'); cout << ans << endl; } int main() { string s; while (cin >> s) solve(s); }
7
CPP
#include <bits/stdc++.h> using namespace std; template <class T> inline T Abs(const T& x) { return x < 0 ? -x : x; } template <class T> inline T Sqr(const T& x) { return x * x; } namespace NSuffixArray { void ZipValues(vector<int>& input) { vector<pair<int, int> > tmp; for (size_t i = 0; i < input.size(); ++i) { tmp.push_back(make_pair(input[i], i)); } sort(tmp.begin(), tmp.end()); int classes = 0; for (size_t i = 0; i < tmp.size(); ++i) { if (i == 0 || tmp[i].first != tmp[i - 1].first) { ++classes; } input[tmp[i].second] = classes - 1; } } void CalcAndAggCnt(const vector<int>& cl, vector<int>& cnt) { cnt.assign(cl.size(), 0); for (size_t i = 0; i < cl.size(); ++i) { ++cnt[cl[i]]; } for (size_t i = 0; i < cnt.size(); ++i) { cnt[i] += i > 0 ? cnt[i - 1] : 0; } } inline int SoftMod(int a, int n) { return a < 0 ? n + a : (a >= n ? a - n : a); } vector<int> SortedShifts(vector<int> input) { ZipValues(input); int n = input.size(), classes = 0; vector<int> sa(n, 0), nsa(n, 0), cnt(n, 0); vector<int> cl = input, oldcl(n, 0); CalcAndAggCnt(cl, cnt); for (int i = 0; i < n; ++i) { sa[--cnt[cl[i]]] = i; } for (int h = 1; h < n; h <<= 1) { CalcAndAggCnt(cl, cnt); for (int i = 0; i < n; ++i) { nsa[i] = SoftMod(sa[i] - h, n); } for (int i = n - 1; i >= 0; --i) { sa[--cnt[cl[nsa[i]]]] = nsa[i]; } classes = 0; oldcl.swap(cl); for (int i = 0; i < n; ++i) { if (classes == 0 || oldcl[sa[i]] > oldcl[sa[i - 1]] || oldcl[SoftMod(sa[i] + h, n)] > oldcl[SoftMod(sa[i - 1] + h, n)]) { ++classes; } cl[sa[i]] = classes - 1; } } return sa; } vector<int> SortedShifts(const string& input) { vector<int> arrayInput(input.begin(), input.end()); return SortedShifts(arrayInput); } vector<int> SortedArray(vector<int> array) { int mn = array[0]; for (size_t i = 1; i < array.size(); ++i) { if (array[i] < mn) { mn = array[i]; } } --mn; array.push_back(mn); auto sorted = SortedShifts(array); for (size_t i = 0; i < sorted.size(); ++i) { if (array[sorted[i]] == mn) { sorted.erase(sorted.begin() + i); break; } } return sorted; } vector<int> SortedArray(const string& s) { vector<int> arrayInput(s.begin(), s.end()); return SortedArray(arrayInput); } } // namespace NSuffixArray struct TParInfo { int AddLeft; int AddRight; int SortedPos; int Shift; }; int main() { ios_base::sync_with_stdio(false); string s; cin >> s; vector<int> sortedShifts = NSuffixArray::SortedShifts(s); vector<int> shiftPos(s.length()); for (size_t i = 0; i < sortedShifts.size(); ++i) { shiftPos[sortedShifts[i]] = i; } vector<int> balance(s.length() + 1, 0); for (size_t i = 1; i <= s.length(); ++i) { balance[i] += balance[i - 1] + (s[i - 1] == '(' ? +1 : -1); } vector<int> leftMin(s.length() + 1, 0); vector<int> rightMin(s.length() + 1, 0); for (size_t i = 1; i <= s.length(); ++i) { leftMin[i] = min(balance[i], leftMin[i - 1]); } rightMin[s.length()] = balance[s.length()]; for (int i = static_cast<int>(s.length()) - 1; i >= 0; --i) { rightMin[i] = min(balance[i], rightMin[i + 1]); } TParInfo bestInfo; bestInfo.AddLeft = s.length() * 4; bestInfo.AddRight = s.length() * 4; vector<TParInfo> parInfo(s.length()); for (size_t i = 0; i < s.length(); ++i) { TParInfo& info = parInfo[i]; info.AddLeft = info.AddRight = 0; info.SortedPos = shiftPos[i]; info.Shift = i; int rMin = rightMin[i] - balance[i]; int lMin = leftMin[i] + (balance[s.length()] - balance[i]); int totalMin = min(lMin, rMin); if (totalMin < 0) { info.AddLeft = -totalMin; } if (info.AddLeft + balance[s.length()] > 0) { info.AddRight = info.AddLeft + balance[s.length()]; } if (info.AddLeft + info.AddRight < bestInfo.AddLeft + bestInfo.AddRight) { bestInfo = info; } } for (size_t i = 0; i < s.length(); ++i) { TParInfo& info = parInfo[i]; if (bestInfo.AddLeft + bestInfo.AddRight == info.AddLeft + info.AddRight) { if (bestInfo.SortedPos > info.SortedPos) { bestInfo = info; } } } for (int i = 0; i < bestInfo.AddLeft; ++i) { cout << '('; } rotate(s.begin(), s.begin() + bestInfo.Shift, s.end()); cout << s; for (int i = 0; i < bestInfo.AddRight; ++i) { cout << ')'; } cout << endl; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; namespace IO { const int sz = 1 << 15; char inbuf[sz], outbuf[sz]; char *pinbuf = inbuf + sz; char *poutbuf = outbuf; inline char _getchar() { if (pinbuf == inbuf + sz) fread(inbuf, 1, sz, stdin), pinbuf = inbuf; return *(pinbuf++); } inline void _putchar(char x) { if (poutbuf == outbuf + sz) fwrite(outbuf, 1, sz, stdout), poutbuf = outbuf; *(poutbuf++) = x; } inline void flush() { if (poutbuf != outbuf) fwrite(outbuf, 1, poutbuf - outbuf, stdout), poutbuf = outbuf; } } // namespace IO inline int read() { int x = 0, p = 1; char c = IO::_getchar(); while (c < '0' || c > '9') { if (c == '-') p = -1; c = IO::_getchar(); } while (c >= '0' && c <= '9') x = x * 10 + c - 48, c = IO::_getchar(); return x * p; } const int Maxn = 1e6 + 5; char c[Maxn]; int n; struct br { int v, m; br() { v = m = 0; } br(int _v, int _m) { v = _v, m = _m; } br(char __) { int _x = (__ == '(') ? 1 : -1; v = _x, m = min(0, _x); } br operator+(br x) { return br(v + x.v, min(m, v + x.m)); } }; const long long mod1 = 998244353; const long long mod2 = 1e9 + 9; int H1[Maxn][22], H2[Maxn][22]; br pre[Maxn], suf[Maxn]; long long pw1[25], pw2[25]; bool cmp(int x, int y) { int lim = 1; while ((1 << lim) <= n) lim++; for (int i = lim - 1; i >= 0; i--) { if (H1[x][i] == H1[y][i] && H2[x][i] == H2[y][i]) { x += 1 << i; y += 1 << i; if (x > n) x -= n; if (y > n) y -= n; } } return c[x] < c[y]; } int main() { scanf("%s", c + 1); n = strlen(c + 1); for (int i = 1; i <= n; i++) H1[i][0] = H2[i][0] = c[i]; pw1[0] = 3948243; for (int i = 1; i < 25; i++) pw1[i] = pw1[i - 1] * pw1[i - 1] % mod1; pw2[0] = 3948243; for (int i = 1; i < 25; i++) pw2[i] = pw2[i - 1] * pw2[i - 1] % mod2; for (int i = 1, j = 2; j <= n; i++, j <<= 1) { for (int k = 1; k <= n; k++) { int nk = k + (j >> 1); if (nk > n) nk -= n; H1[k][i] = (1ll * H1[k][i - 1] * pw1[i - 1] + H1[nk][i - 1]) % mod1; H2[k][i] = (1ll * H2[k][i - 1] * pw2[i - 1] + H2[nk][i - 1]) % mod2; } } for (int i = 1; i <= n; i++) { pre[i] = pre[i - 1] + br(c[i]); } for (int i = n; i >= 1; i--) { suf[i] = br(c[i]) + suf[i + 1]; } int tot = min(pre[n].v, 0); int ans = -1; for (int i = 1; i <= n; i++) { br tmp = suf[i] + pre[i - 1]; if (tmp.m == tot) { if (ans == -1) ans = i; else { if (cmp(i, ans)) ans = i; } } } tot = pre[n].v; string res; for (int i = ans; i <= n; i++) res += c[i]; for (int i = 1; i < ans; i++) res += c[i]; if (tot > 0) { for (int i = 0; i < tot; i++) res += ')'; } else { string tmp; for (int i = 0; i < (-tot); i++) tmp += '('; res = tmp + res; } printf("%s\n", res.c_str()); return ~~(0 ^ 0 ^ 0); }
7
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:666777216") using namespace std; const int N = 1000007; char st[N]; int n, sum[N], openCnt[N]; struct segTree { int T[4 * N]; void build(int v, int tl, int tr, int *sum) { if (tl == tr) { T[v] = sum[tl]; return; } int tm = (tl + tr) / 2; build(2 * v, tl, tm, sum); build(2 * v + 1, tm + 1, tr, sum); T[v] = min(T[2 * v], T[2 * v + 1]); } void update(int v, int tl, int tr, int pos, int val) { if (tl == tr) { T[v] = val; return; } int tm = (tl + tr) / 2; if (pos <= tm) update(2 * v, tl, tm, pos, val); else update(2 * v + 1, tm + 1, tr, pos, val); T[v] = min(T[2 * v], T[2 * v + 1]); } int get(int v, int tl, int tr, int l, int r) { if (r < l) return N; if (tl == l && tr == r) return T[v]; int tm = (tl + tr) / 2; if (r <= tm) return get(2 * v, tl, tm, l, r); if (l > tm) return get(2 * v + 1, tm + 1, tr, l, r); return min(get(2 * v, tl, tm, l, tm), get(2 * v + 1, tm + 1, tr, tm + 1, r)); } } tree; inline int get(int l, int r, int *sum) { if (l > r) return 0; if (l == 0) return sum[r]; return sum[r] - sum[l - 1]; } int open[N], close[N]; inline int code(char c) { return c == '(' ? 0 : 1; } struct SA { int pos[N], tpos[N], cnt[N], rev[N]; int C[21][N]; void build() { memset(cnt, 0, sizeof cnt); for (int i = 0; i < (n); ++i) ++cnt[code(st[i])]; for (int i = 0; i < (n); ++i) { if (i) cnt[i] += cnt[i - 1]; } for (int i = n - 1; i >= 0; --i) { pos[i] = --cnt[code(st[i])]; } for (int i = 0; i < (n); ++i) { C[0][i] = code(st[i]); } for (int h = 1, lev = 0; h < n; h <<= 1, ++lev) { for (int i = 0; i < (n); ++i) { tpos[i] = pos[(i + h) % n]; } memset(cnt, 0, sizeof cnt); for (int i = 0; i < (n); ++i) ++cnt[C[lev][i]]; for (int i = 0; i < (n); ++i) { if (i) cnt[i] += cnt[i - 1]; } for (int i = 0; i < (n); ++i) { rev[tpos[i]] = i; } for (int i = n - 1; i >= 0; --i) { int ind = rev[i]; pos[ind] = --cnt[C[lev][ind]]; } for (int i = 0; i < (n); ++i) { rev[pos[i]] = i; } C[lev + 1][rev[0]] = 0; for (int i = 1, cur = 0; i < n; ++i) { if (C[lev][rev[i - 1]] != C[lev][rev[i]] || C[lev][(rev[i - 1] + h) % n] != C[lev][(rev[i] + h) % n]) ++cur; C[lev + 1][rev[i]] = cur; } } } } sa; bool checkOpen(int i, int j) { if (i < j) return get(i, j, openCnt) == j - i + 1; return get(i, n - 1, openCnt) + get(0, j, openCnt) == n - 1 - i + 1 + j - 0 + 1; } int cmp(int i, int j, int len) { for (int h = 19; h >= 0; --h) { if ((1 << h) > len) continue; if (sa.C[h][i] < sa.C[h][j]) return -1; if (sa.C[h][i] > sa.C[h][j]) return 1; i = (i + (1 << h)) % n; j = (j + (1 << h)) % n; } return 0; } bool compare(int i, int j) { int op1 = open[i] - min(open[i], open[j]); int op2 = open[j] - min(open[i], open[j]); int cl1 = close[i]; int cl2 = close[j]; if (op1 != 0) { if (!checkOpen(j, (j + op1) % n)) return true; j = (j + op1) % n; } if (op2 != 0) { if (!checkOpen(i, (i + op2) % n)) return false; i = (i + op2) % n; } int res = cmp(i, j, n - max(op1, op2)); if (res == -1) return true; if (res == 1) return false; return cl1 <= cl2; } void solve() { scanf("%s", st); n = strlen(st); for (int i = 0; i < (n); ++i) { int psum = (i ? sum[i - 1] : 0); if (st[i] == '(') sum[i] = psum + 1; else sum[i] = psum - 1; int popen = (i ? openCnt[i - 1] : 0); if (st[i] == '(') openCnt[i] = popen + 1; else openCnt[i] = popen; } tree.build(1, 0, n - 1, sum); int totalBal = sum[n - 1]; for (int i = 0; i < (n); ++i) { int min1 = tree.get(1, 0, n - 1, i, n - 1) - get(0, i - 1, sum); int min2 = tree.get(1, 0, n - 1, 0, i - 1) + get(i, n - 1, sum); int mini = min(min1, min2); if (mini >= 0) { close[i] = totalBal; } else { open[i] = -mini; if (totalBal + open[i] < 0) open[i] += -(totalBal + open[i]); else close[i] = totalBal + open[i]; } } int minAdd = N + N; for (int i = 0; i < (n); ++i) { minAdd = min(minAdd, open[i] + close[i]); } sa.build(); int best = -1; for (int i = 0; i < (n); ++i) { if (open[i] + close[i] != minAdd) continue; if (best == -1 || compare(i, best)) { best = i; } } for (int i = 0; i < (open[best]); ++i) putchar('('); for (int i = best; i < n; ++i) { putchar(st[i]); } for (int i = 0; i < best; ++i) { putchar(st[i]); } for (int i = 0; i < (close[best]); ++i) putchar(')'); } int rd() { return (((long long)rand() << 16) ^ rand()) % 1000000000; } void testGen() { FILE *f = fopen("input.txt", "w"); fclose(f); } int main() { cerr << fixed; cerr.precision(5); solve(); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; int main() { cin.sync_with_stdio(0); cin.tie(0); string s; cin >> s; int N = s.length(); int d = 0; for (int i = 0; i < N; i++) { if (s[i] == '(') d++; else d--; } set<pair<int, int> > S1; vector<int> Sv(N); int sA = 0; for (int i = 0; i < N; i++) { if (s[i] == '(') sA++; else sA--; Sv[i] = sA; S1.insert(make_pair(sA, i)); } vector<int> Ppos(1, 0); int ans = max(((d < 0) ? -(d) : d), -S1.begin()->first); sA = 0; if (d >= 0) ans = d + max(0, -S1.begin()->first); for (int i = 0; i < N - 1; i++) { S1.erase(make_pair(Sv[i], i)); sA = min(sA, Sv[i]); int c; if (d >= 0) c = d + max(0, max(-S1.begin()->first + Sv[i], -sA - Sv[N - 1] + Sv[i])); else c = max(0, max(-S1.begin()->first + Sv[i], -sA - Sv[N - 1] + Sv[i])); if (ans > c) { ans = c; Ppos.clear(); } if (ans == c) Ppos.push_back(i + 1); } N *= 2; vector<vector<int> > V1(256); V1[0].push_back(N); for (int i = 0; i < N; i++) V1[s[i % (N / 2)]].push_back(i); int K = 5; while (1 << (K - 1) < N) K++; vector<int> isB(N + 1 + (1 << (K - 1)), 0); vector<int> SA(N + 1, N); vector<int> Bs(N + 2, N + 1); Bs[0] = 0; int Btot = -1, q = 0; for (int j = 0; j < 256; j++) { if (!V1[j].empty()) Bs[++Btot] = q; for (unsigned int i = 0; i < V1[j].size(); i++) { SA[q] = V1[j][i]; isB[V1[j][i]] = Btot; q++; } } vector<pair<int, int> > tmp(N + 1); vector<int> Bs1(N + 1, 0); vector<int> nxtB(N + 1, 0), pos(N + 1, 0); for (int i = 1; i < K; i++) { int q = 1 << (i - 1); for (int j = 0; j <= Btot; j++) Bs1[j] = 0; for (int j = 0; j <= N; j++) nxtB[j] = isB[SA[j] + q]; for (int j = 0; j <= Btot; j++) if (Bs[j + 1] - Bs[j] > 1) for (int k = Bs[j]; k < Bs[j + 1]; k++) Bs1[nxtB[k]]++; int s = 0; for (int j = 0; j <= Btot; j++) { int s2 = Bs1[j] + s; Bs1[j] = s; s = s2; } for (int j = 0; j <= Btot; j++) if (Bs[j + 1] - Bs[j] > 1) for (int k = Bs[j]; k < Bs[j + 1]; k++) pos[k] = Bs1[nxtB[k]]++; for (int j = 0; j <= Btot; j++) if (Bs[j + 1] - Bs[j] > 1) for (int k = Bs[j]; k < Bs[j + 1]; k++) { tmp[pos[k]].first = SA[k]; tmp[pos[k]].second = j; } for (int j = 0; j < s; j++) pos[j] = Bs[tmp[j].second]++; for (int j = 0; j < s; j++) SA[pos[j]] = tmp[j].first; for (int j = 0; j <= N; j++) nxtB[j] = isB[SA[j] + q]; Btot = 0; Bs[0] = 0; for (int j = 1; j <= N; j++) { if (isB[SA[j]] != isB[SA[j - 1]] || nxtB[j] != nxtB[j - 1]) pos[j] = ++Btot; else pos[j] = pos[j - 1]; } int p = 0; for (int j = 1; j <= N; j++) { if (p + 1 == pos[j]) Bs[++p] = j; isB[SA[j]] = p; } } vector<int> invP(N + 1); for (int i = 0; i <= N; i++) invP[SA[i]] = i; int optR = Ppos[0], optP = invP[Ppos[0]]; for (unsigned int i = 0; i < Ppos.size(); i++) if (optP > invP[Ppos[i]]) { optR = Ppos[i]; optP = invP[Ppos[i]]; } string s2; for (int i = 0; i < -d; i++) s2 += "("; for (int i = optR; i < N / 2; i++) s2 += s[i]; for (int i = 0; i < optR; i++) s2 += s[i]; for (int i = 0; i < d; i++) s2 += ")"; cout << s2 << "\n"; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 3; const int M = 5e6 + 3; const int oo = 1e9; const int OS = 317; const int MOD = 1e9 + 7; char s[N]; int n, stp[M], p1[N], p2[N], s1[N], s2[N], ho[N], hz[N], h[N]; vector<int> st; int get(int i, int ln) { int op, zp, zs, os, il, ir, ans, l1, l, r, ym; op = p2[i]; zp = i - p1[i] - op; zs = s2[i + 1]; os = n - i - s1[i + 1] - zs; il = zs; ir = op; if (os > zp) ir += os - zp; else il += zp - os; l1 = min(il, ln); ym = 2 * n; ans = (stp[ym] * 1LL * ho[l1]) % MOD; if (ln - l1 > 0) { l = i + 1; r = l + min(n - i, ln - l1) - 1; ans = (ans + (((h[r] - h[l - 1]) % MOD + MOD) % MOD) * 1LL * stp[ym + l1 - (l - 1)] % MOD) % MOD; l1 += r - l + 1; if (ln - l1 > 0) { r = min(i, ln - l1); ans = (ans + h[r] * 1LL * stp[ym + l1] % MOD) % MOD; l1 += r; if (ln - l1 > 0) { r = ln - l1; ans = (ans + hz[r] * 1LL * stp[ym + l1] % MOD) % MOD; } } } return ans; } int get_ch(int i, int ln) { int op, zp, zs, os, il, ir; op = p2[i]; zp = i - p1[i] - op; zs = s2[i + 1]; os = n - i - s1[i + 1] - zs; il = zs; ir = op; if (os > zp) ir += os - zp; else il += zp - os; if (ln <= il) return '('; ln -= il; if (ln <= n - i) return s[i + ln]; ln -= n - i; if (ln <= i) return s[ln]; else return ')'; } int ans; bool cmp(int i, int j) { int l, r, x; l = 1, r = ans; while (l <= r) { x = (l + r) >> 1; if (get(i, x) == get(j, x)) l = x + 1; else r = x - 1; } if (r + 1 > ans) return true; return get_ch(i, r + 1) <= get_ch(j, r + 1); } void make(char *s) { int i, n; srand(time(NULL)); n = 100; for (i = 0; i <= n; ++i) if (rand() % 2 == 0) s[i] = '('; else s[i] = ')'; s[n + 1] = 0; } char ss[1000][1000]; bool cmp1(int i, int j) { int li, lj, u, l; li = strlen(ss[i]); lj = strlen(ss[j]); l = min(li, lj); if (li < lj) return true; else if (li > lj) return false; for (u = 0; u < l; ++u) if (ss[i][u] < ss[j][u]) return true; else if (ss[i][u] > ss[j][u]) return false; if (li == u) return true; else return false; } char bd[2 * N], na[2 * N]; void solve(char *s) { int i, j, n, op, zp, zs, os, il, ir, m, mn; n = strlen(s + 1); for (i = 0; i < n; ++i) { op = p2[i]; zp = i - p1[i] - op; zs = s2[i + 1]; os = n - i - s1[i + 1] - zs; il = zs; ir = op; if (os > zp) ir += os - zp; else il += zp - os; m = 0; for (j = 0; j < il; ++j) ss[i][m++] = '('; for (j = i + 1; j <= n; ++j) ss[i][m++] = s[j]; for (j = 1; j <= i; ++j) ss[i][m++] = s[j]; for (j = 0; j < ir; ++j) ss[i][m++] = ')'; ss[i][m] = 0; } mn = 0; for (i = 0; i < n; ++i) if (cmp1(i, mn)) mn = i; m = strlen(ss[mn]); for (i = 0; i < m; ++i) bd[i] = ss[mn][i]; bd[m] = 0; } char san[N]; int main() { int i, j, op, zp, zs, os, len, mn; while (1) { gets(s + 1); n = strlen(s + 1); for (i = 1; i <= n; ++i) if (s[i] == '(') p1[i] = p1[i - 1], p2[i] = p2[i - 1] + 1; else if (p2[i - 1]) p1[i] = p1[i - 1] + 2, p2[i] = p2[i - 1] - 1; else p1[i] = p1[i - 1], p2[i] = p2[i - 1]; for (i = n; i; --i) if (s[i] == ')') s1[i] = s1[i + 1], s2[i] = s2[i + 1] + 1; else if (s2[i + 1]) s1[i] = s1[i + 1] + 2, s2[i] = s2[i + 1] - 1; else s1[i] = s1[i + 1], s2[i] = s2[i + 1]; ans = oo; for (i = 0; i < n; ++i) { op = p2[i]; zp = i - p1[i] - op; zs = s2[i + 1]; os = n - i - s1[i + 1] - zs; len = n + zs + op + max(os, zp) - min(os, zp); if (ans > len) st.clear(); if (ans >= len) ans = len, st.push_back(i); } stp[0] = 1; for (i = 1; i < M; ++i) stp[i] = (stp[i - 1] * 1LL * OS) % MOD; ho[0] = hz[0] = 0; for (i = 1; i < N; ++i) ho[i] = (ho[i - 1] + '(' * 1LL * stp[i - 1] % MOD) % MOD; for (i = 1; i < N; ++i) hz[i] = (hz[i - 1] + ')' * 1LL * stp[i - 1] % MOD) % MOD; h[0] = 0; for (i = 1; i <= n; ++i) h[i] = (h[i - 1] + s[i] * 1LL * stp[i - 1] % MOD) % MOD; mn = st[0]; for (i = 1; i < (int)st.size(); ++i) { if (cmp(st[i], mn)) mn = st[i]; } i = mn; int il, ir; op = p2[i]; zp = i - p1[i] - op; zs = s2[i + 1]; os = n - i - s1[i + 1] - zs; il = zs; ir = op; if (os > zp) ir += os - zp; else il += zp - os; int m = 0; for (j = 0; j < il; ++j) na[m++] = '('; for (j = i + 1; j <= n; ++j) na[m++] = s[j]; for (j = 1; j <= i; ++j) na[m++] = s[j]; for (j = 0; j < ir; ++j) na[m++] = ')'; na[m++] = 0; printf("%s\n", na); return 0; } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2111111; char buf[maxn]; int sum[maxn]; bool ok[maxn]; int order[maxn]; template <typename T> void debug(T a[], int n) { for (int i = 1; i <= n; ++i) { cout << setw(3) << a[i]; } puts(""); } void fix(int& i, int n) { while (!ok[i] && i <= n) { ++i; } } int run(char s[], int m) { int n = m >> 1; int i = 1, j = 2, k = 0; fix(i, n); j = i + 1; fix(j, n); while (j <= n) { for (k = 0; k < n; ++k) { if (s[i + k] ^ s[j + k]) { break; } } if (s[i + k] > s[j + k]) { i += k + 1; fix(i, n); } else { j += k + 1; fix(j, n); } if (j == i) { ++j; fix(j, n); } } return std::min(i, j); } int main() { for (int i = 1; i < 100; ++i) { order[i] = i; } scanf("%s", buf + 1); int n = std::strlen(buf + 1); int A, B; A = B = 0; for (int i = 1; i <= n; ++i) { buf[i + n] = buf[i]; if (buf[i] == '(') { ++A; } else { ++B; } } int m = n << 1; for (int i = 1; i <= m; ++i) { if (buf[i] == '(') { sum[i] = 1; } else { sum[i] = -1; } sum[i] += sum[i - 1]; } static int q[maxn]; int front, rear; front = rear = 0; static int min[maxn]; int add = 0; if (A < B) { add = B - A; } for (int i = 1; i <= m; ++i) { if (front < rear && q[front] + n <= i) { ++front; } while (front < rear && sum[q[rear - 1]] >= sum[i]) { --rear; } q[rear++] = i; min[i] = sum[q[front]]; } for (int i = 1; i <= n; ++i) { if (add + min[i + n - 1] >= sum[i - 1]) { ok[i] = true; } } int index = run(buf, m); auto print = [](char ch, int n) { while (n--) { putchar(ch); } }; if (A < B) { print('(', B - A); } for (int i = index; i < index + n; ++i) { putchar(buf[i]); } if (B < A) { print(')', A - B); } puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; char p[2010000], Ans[2010000 * 2]; int n, D[1010000], D2[1010000], C[2010000], ord[2010000], ord2[2010000], SA[2010000], MM, P[1010000], Pcnt; int X[2010000], Y[2010000]; void Suffix_Array(int m) { int i, L = 2, M, cnt, cc, t; for (i = 1; i <= m; i++) { X[i] = p[i - 1], Y[i] = p[i]; } while (1) { M = max(m, 256); for (i = 1; i <= m; i++) C[Y[i]]++; for (i = 1; i <= M; i++) C[i] += C[i - 1]; for (i = 1; i <= m; i++) ord[C[Y[i]]--] = i; for (i = 0; i <= M; i++) C[i] = 0; for (i = 1; i <= m; i++) C[X[i]]++; for (i = 1; i <= M; i++) C[i] += C[i - 1]; for (i = m; i >= 1; i--) ord2[C[X[ord[i]]]--] = ord[i]; for (i = 0; i <= M; i++) C[i] = 0; cnt = 0; for (i = 1; i <= m; i++) { if (i == 1 || X[ord2[i]] != X[ord2[i - 1]] || Y[ord2[i]] != Y[ord2[i - 1]]) cnt++; SA[ord2[i]] = cnt; } t = cnt + 1, cc = 0; for (i = 0; i < Pcnt; i++) { if (t > SA[P[i] + 1]) t = SA[P[i] + 1], cc = 1; else if (t == SA[P[i] + 1]) cc++; } if (cc == 1) break; if (L >= m) break; for (i = 1; i <= m; i++) { X[i] = SA[i]; if (i + L > m) Y[i] = 0; else Y[i] = SA[i + L]; } L *= 2; } } int main() { int i, t = 0, SS = 0, MM2, pv, cc = 0; gets(p); for (i = 0; p[i]; i++) ; n = i; for (i = n - 1; i >= 0; i--) { if (p[i] == '(') t++, SS++; else t--, SS--; if (t > 0) t = 0; D[i] = t; } t = 0; for (i = 0; i < n; i++) { D2[i] = min(D[i], SS - t + MM); if (p[i] == '(') t++; else t--; if (MM > t) MM = t; } for (i = 0; i < n; i++) p[i + n] = p[i]; MM = -99999999; for (i = 0; i < n; i++) { if (MM < D2[i]) MM = D2[i]; } for (i = 0; i < n; i++) { if (MM == D2[i]) P[Pcnt++] = i; } Suffix_Array(2 * n); MM2 = 99999999; for (i = 0; i < n; i++) { if (MM == D2[i] && MM2 > SA[i + 1]) { MM2 = SA[i + 1]; pv = i; } } for (i = 0; i < -MM; i++) Ans[cc++] = '('; for (i = pv; i < n; i++) Ans[cc++] = p[i]; for (i = 0; i < pv; i++) Ans[cc++] = p[i]; for (i = 0; i < t; i++) Ans[cc++] = ')'; puts(Ans); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000006; struct SuffixArray { const int L; string s; vector<int> SA; inline bool leq(int a1, int a2, int b1, int b2) { return (a1 < b1 || a1 == b1 && a2 <= b2); } inline bool leq(int a1, int a2, int a3, int b1, int b2, int b3) { return (a1 < b1 || a1 == b1 && leq(a2, a3, b2, b3)); } void radixPass(int* a, int* b, int* r, int n, int K) { int* c = new int[K + 1]; for (int i = 0; i < K + 1; ++i) c[i] = 0; for (int i = 0; i < n; ++i) c[r[a[i]]]++; for (int i = 0, sum = 0; i <= K; i++) { int t = c[i]; c[i] = sum; sum += t; } for (int i = 0; i < n; ++i) b[c[r[a[i]]]++] = a[i]; delete[] c; } SuffixArray(const string& s) : L(s.length()), s(s) { SA.resize(L); if (L == 1) SA[0] = 0; else { int *sa = new int[L], *v = new int[L + 3]; int K = 255; for (int i = 0; i < L; ++i) v[i] = int(s[i]); v[L] = v[L + 1] = v[L + 2] = 0; constructSA(v, sa, L, K); for (int i = 0; i < L; ++i) SA[i] = sa[i]; delete[] v; delete[] sa; } } void constructSA(int* s, int* SA, int n, int K) { int n0 = (n + 2) / 3, n1 = (n + 1) / 3, n2 = n / 3, n02 = n0 + n2; int* s12 = new int[n02 + 3]; s12[n02] = s12[n02 + 1] = s12[n02 + 2] = 0; int* SA12 = new int[n02 + 3]; SA12[n02] = SA12[n02 + 1] = SA12[n02 + 2] = 0; int* s0 = new int[n0]; int* SA0 = new int[n0]; for (int i = 0, j = 0; i < n + (n0 - n1); i++) if (i % 3 != 0) s12[j++] = i; radixPass(s12, SA12, s + 2, n02, K); radixPass(SA12, s12, s + 1, n02, K); radixPass(s12, SA12, s, n02, K); int name = 0, c0 = -1, c1 = -1, c2 = -1; for (int i = 0; i < n02; ++i) { if (s[SA12[i]] != c0 || s[SA12[i] + 1] != c1 || s[SA12[i] + 2] != c2) { name++; c0 = s[SA12[i]]; c1 = s[SA12[i] + 1]; c2 = s[SA12[i] + 2]; } if (SA12[i] % 3 == 1) s12[SA12[i] / 3] = name; else s12[SA12[i] / 3 + n0] = name; } if (name < n02) { constructSA(s12, SA12, n02, name); for (int i = 0; i < n02; ++i) s12[SA12[i]] = i + 1; } else for (int i = 0; i < n02; ++i) SA12[s12[i] - 1] = i; for (int i = 0, j = 0; i < n02; i++) if (SA12[i] < n0) s0[j++] = 3 * SA12[i]; radixPass(s0, SA0, s, n0, K); for (int p = 0, t = n0 - n1, k = 0; k < n; k++) { int i = (SA12[t] < n0 ? SA12[t] * 3 + 1 : (SA12[t] - n0) * 3 + 2); int j = SA0[p]; if (SA12[t] < n0 ? leq(s[i], s12[SA12[t] + n0], s[j], s12[j / 3]) : leq(s[i], s[i + 1], s12[SA12[t] - n0 + 1], s[j], s[j + 1], s12[j / 3 + n0])) { SA[k] = i; t++; if (t == n02) for (k++; p < n0; p++, k++) SA[k] = SA0[p]; } else { SA[k] = j; p++; if (p == n0) for (k++; t < n02; t++, k++) SA[k] = (SA12[t] < n0 ? SA12[t] * 3 + 1 : (SA12[t] - n0) * 3 + 2); } } delete[] s12; delete[] SA12; delete[] SA0; delete[] s0; } vector<int> getSuffixArray() { return SA; } }; int contagem[MAXN]; int L[MAXN], R[MAXN]; int main() { ios_base::sync_with_stdio(false); string s; while (cin >> s) { string t = s + s; SuffixArray sa(t); vector<int> v = sa.getSuffixArray(); int cnt = 0; int mini = 0; for (int i = 0; i < (int)s.size(); ++i) { contagem[i] = cnt; if (s[i] == '(') cnt++; else cnt--; mini = min(mini, cnt); } contagem[(int)s.size()] = cnt; L[0] = contagem[0]; for (int i = 1; i < (int)s.size() + 1; ++i) L[i] = min(contagem[i], L[i - 1]); R[(int)s.size()] = contagem[(int)s.size()]; for (int i = (int)s.size() - 1; i >= 0; i--) R[i] = min(contagem[i], R[i + 1]); string resp = ""; if (cnt > 0) { int k = -1; for (int i = 0; i < (int)v.size(); ++i) { if (v[i] >= (int)s.size()) continue; if (L[v[i]] + cnt < contagem[v[i]]) continue; if (R[v[i]] < contagem[v[i]]) continue; k = v[i]; break; } for (int i = 0; i < (int)s.size(); ++i) { resp += s[(k + i) % (int)s.size()]; } while (cnt > 0) { resp += ")"; cnt--; } } else { int k = -1; for (int i = 0; i < (int)v.size(); ++i) { if (v[i] >= (int)s.size()) continue; if (L[v[i]] < contagem[v[i]]) continue; if (R[v[i]] - cnt < contagem[v[i]]) continue; k = v[i]; break; } while (cnt < 0) { resp += "("; cnt++; } for (int i = 0; i < (int)s.size(); ++i) { resp += s[(k + i) % (int)s.size()]; } } cout << resp << endl; } }
7
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 2e6 + 1000; int t1, t2; int lr[MAXN]; int ll[MAXN]; int rl[MAXN]; int rr[MAXN]; bool check(int i) { if (i == 0) { return rr[i] == t1 && rl[i] == t2; } int tl, tr; tr = rr[i]; tl = ll[i - 1]; int tmin = min(rl[i], lr[i - 1]); tl += rl[i] - tmin; tr += lr[i - 1] - tmin; if (tr == t1 && tl == t2) return true; return false; } struct SA { int rank[MAXN], height[MAXN]; int len; inline int ge(char a) { if (a == '(') return 1; else if (a == ')') return 2; else return 0; } int sa[MAXN]; int wa[MAXN], wb[MAXN], wv[MAXN], ws[MAXN]; int cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void da(char *r, int *sa, int n, int m) { int i, j, p, *x = wa, *y = wb, *t; for (i = 0; i < m; i++) ws[i] = 0; for (i = 0; i < n; i++) ws[x[i] = ge(r[i])]++; for (i = 1; i < m; i++) ws[i] += ws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--ws[x[i]]] = i; for (j = 1, p = 1; p < n; j *= 2, m = p) { for (p = 0, i = n - j; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < n; i++) wv[i] = x[y[i]]; for (i = 0; i < m; i++) ws[i] = 0; for (i = 0; i < n; i++) ws[wv[i]]++; for (i = 1; i < m; i++) ws[i] += ws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--ws[wv[i]]] = y[i]; for (t = x, x = y, y = t, p = 1, x[sa[0]] = 0, i = 1; i < n; i++) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } return; } int solve(char *s) { len = strlen(s); s[len] = 0; da(s, sa, len + 1, 3); for (int i = 0; i < len + 1; ++i) { if (sa[i] < len / 2 && check(sa[i])) { return sa[i]; } } return -1; } } tq; char s[MAXN]; int main() { while (scanf("%s", s) != EOF) { memset(lr, 0, sizeof lr); memset(ll, 0, sizeof ll); memset(rr, 0, sizeof rr); memset(rl, 0, sizeof rl); int len = strlen(s); t1 = 0, t2 = 0; for (int i = 0; i < len; ++i) { s[i + len] = s[i]; if (s[i] == '(') { ++t1; } else { ++t2; } } int tn = min(t1, t2); t1 -= tn, t2 -= tn; swap(t1, t2); s[len * 2] = '\0'; int tl = 0, tr = 0; for (int i = 0; i < len; ++i) { if (s[i] == '(') { ++tl; } else { if (tl == 0) ++tr; else --tl; } lr[i] = tr; ll[i] = tl; } tl = tr = 0; for (int i = len - 1; i >= 0; --i) { if (s[i] == ')') { ++tr; } else { if (tr == 0) ++tl; else --tr; } rr[i] = tr; rl[i] = tl; } for (int i = 0; i < t1; ++i) putchar('('); int tmp = tq.solve(s); for (int i = 0; i < len; ++i) { putchar(s[i + tmp]); } for (int i = 0; i < t2; ++i) putchar(')'); puts(""); } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int nmax = 2000005; const int lmax = 21; int n, i, N, val, add, A, B, mlc, sol; int can[nmax], sum[nmax]; int sa[lmax][nmax], ord[nmax]; char s[nmax]; deque<int> q; struct piece { int x, y, i; bool operator<(const piece &a) const { if (x == a.x) return y < a.y; return x < a.x; } }; piece L[nmax]; void find_candidates() { for (i = 1; i < N; i++) { while (!q.empty() && sum[i] < sum[q.back()]) q.pop_back(); q.push_back(i); if (q.front() == i - n) q.pop_front(); if (i > n) { if (s[i - n] == '(') add--; else add++; } if (i >= n && sum[q.front()] + add + mlc >= 0) can[i - n + 1] = 1; } } void suffix_arrays() { for (i = 1; i <= N; i++) sa[0][i] = s[i] - '('; int step, cnt; for (step = 1, cnt = 1; (1 << step) <= N; step++, cnt *= 2) { for (i = 1; i <= N; i++) { L[i].x = sa[step - 1][i]; if (i + cnt <= N) L[i].y = sa[step - 1][i + cnt]; else L[i].y = -1; L[i].i = i; } sort(L + 1, L + N + 1); for (i = 1; i <= N; i++) { if (i > 1 && L[i].x == L[i - 1].x && L[i].y == L[i - 1].y) sa[step][L[i].i] = sa[step][L[i - 1].i]; else sa[step][L[i].i] = i; } } for (i = 1; i <= N; i++) ord[sa[step - 1][i]] = i; } int main() { cin.sync_with_stdio(false); cin >> s + 1; n = strlen(s + 1); for (i = 1; i <= n; i++) s[i + n] = s[i]; N = 2 * n; for (i = 1; i <= N; i++) { if (s[i] == '(') val = 1; else val = -1; sum[i] = sum[i - 1] + val; } for (i = 1; i <= n; i++) { if (s[i] == '(') A++; else B++; } if (B > A) mlc = B - A; find_candidates(); suffix_arrays(); for (i = 1; i <= N; i++) if (can[ord[i]]) { sol = ord[i]; break; } s[n + 1] = '\0'; if (A >= B) { cout << s + sol; s[sol] = '\0'; cout << s + 1; for (i = 1; i <= A - B; i++) cout << ')'; } else { for (i = 1; i <= B - A; i++) cout << '('; cout << s + sol; s[sol] = '\0'; cout << s + 1; } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; vector<int> r[1000002]; char c[1000002]; int a[1000002], ls[1000002], lx[1000002], b[1000002], g[1000002], l, p, k, kk, s; int main() { scanf("%s", c); l = strlen(c); k = 0; for (int i = (0); i <= (l - 1); i++) if (c[i] == '(') a[i] = kk + 1, b[p++] = i, k = 1; if (k) kk++, k = 0; for (int i = (0); i <= (l - 1); i++) if (c[i] == ')') a[i] = kk + 1, b[p++] = i, k = 1; if (k) kk++, k = 0; for (int j = (0); j <= (20); j++) { k = 1 << j; if (k >= l) break; for (int i = (1); i <= (kk); i++) r[i].clear(); s = 0; for (int i = (0); i <= (l - 1); i++) p = (b[i] - k + l) % l, r[a[p]].push_back(p); p = 0; for (int i = (1); i <= (kk); i++) { int sz = r[i].size() - 1; g[r[i][0]] = ++s; b[p++] = r[i][0]; for (int ii = (1); ii <= (sz); ii++) { int w = r[i][ii]; b[p++] = w; if (a[(w + k) % l] != a[(r[i][ii - 1] + k) % l]) g[w] = ++s; else g[w] = s; } } for (int i = (0); i <= (l - 1); i++) a[i] = g[i]; kk = s; } a[0] = 0; for (int i = (1); i <= (l); i++) if (c[i - 1] == '(') a[i] = 1; else a[i] = -1; for (int i = (2); i <= (l); i++) a[i] += a[i - 1]; ls[0] = l; lx[l + 1] = l; if (a[l] > 0) p = 0; else p = a[l]; for (int i = (1); i <= (l); i++) if (ls[i - 1] < a[i]) ls[i] = ls[i - 1]; else ls[i] = a[i]; for (int i = (l); i >= (1); i--) if (lx[i + 1] < a[i]) lx[i] = lx[i + 1]; else lx[i] = a[i]; for (int i = (0); i <= (l - 1); i++) { int ii = b[i] + 1; if (lx[ii] - a[ii - 1] >= p && ls[ii - 1] + a[l] - a[ii - 1] >= p) { if (a[l] < 0) for (int j = (1); j <= (-a[l]); j++) printf("("); for (int j = (ii - 1); j <= (l - 1); j++) printf("%c", c[j]); for (int j = (0); j <= (ii - 2); j++) printf("%c", c[j]); if (a[l] > 0) for (int j = (1); j <= (a[l]); j++) printf(")"); return 0; } } }
7
CPP
#include <bits/stdc++.h> using namespace std; vector<string> split(const string& s, char c) { vector<string> v; stringstream ss(s); string x; while (getline(ss, x, c)) v.push_back(move(x)); return v; } void err(vector<string>::iterator it) {} template <typename T, typename... Args> void err(vector<string>::iterator it, T a, Args... args) { cerr << it->substr((*it)[0] == ' ', it->length()) << " = " << a << '\n'; err(++it, args...); } int N; string s; struct entry { int nr[2], p; } L[2 * 1000013]; int P[2][4 * 1000013], stp; int order[1000013]; int prefix[1000013]; int total; int st[2097152]; char ANS[2 * 1000013]; void update(int i, int x, int lo = 0, int hi = -1, int node = 0) { if (hi == -1) hi = N; if (i < lo || i > hi) return; if (lo == hi) { st[node] += x; return; } int mid = (lo + hi) / 2; update(i, x, lo, mid, 2 * node + 1); update(i, x, mid + 1, hi, 2 * node + 2); st[node] = min(st[2 * node + 1], st[2 * node + 2]); } int query(int s, int e, int lo = 0, int hi = -1, int node = 0) { if (hi == -1) hi = N; if (e < lo || s > hi) return (1 << 30); if (s <= lo && hi <= e) return st[node]; int mid = (lo + hi) / 2; return min(query(s, e, lo, mid, 2 * node + 1), query(s, e, mid + 1, hi, 2 * node + 2)); } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> s; N = s.size(); for (int i = 0; i < N; i++) { prefix[i + 1] = prefix[i] + (s[i] == '(' ? 1 : -1); update(i + 1, prefix[i + 1]); } total = prefix[N]; for (int i = 0; i < 2 * N; i++) { P[0][i] = (s[i % N] == ')') + 1; } for (stp = 1; (1 << (stp - 1)) < 2 * N; stp++) { int cnt = 1 << (stp - 1); int t = stp % 2; for (int i = 0; i < 2 * N; i++) { L[i].nr[0] = P[!t][i]; L[i].nr[1] = P[!t][i + cnt]; L[i].p = i; } sort(L, L + 2 * N, [](entry a, entry b) { return a.nr[0] == b.nr[0] ? a.nr[1] < b.nr[1] : a.nr[0] < b.nr[0]; }); int cur = 1; for (int i = 0; i < 2 * N; i++) { if (i == 0 || (L[i].nr[0] == L[i - 1].nr[0] && L[i].nr[1] == L[i - 1].nr[1])) { P[t][L[i].p] = cur; } else { P[t][L[i].p] = ++cur; } } } for (int i = 0; i < N; i++) { order[i] = i; } stp = (stp - 1) % 2; sort(order, order + N, [](int a, int b) { return P[stp][a] < P[stp][b]; }); int a; for (int i = 0; i < N; i++) { int idx = order[i]; int amt = query(idx + 1, N) - prefix[idx]; amt = min(amt, query(1, idx) + total - prefix[idx]); int bound = min(total, 0); if (amt >= bound) { a = idx; break; } } int idx = 0; if (total < 0) { for (int i = 0; i < -total; i++) { ANS[idx++] = '('; } } for (int i = a; i < a + N; i++) { ANS[idx++] = s[i % N]; } if (total > 0) { for (int i = 0; i < total; i++) { ANS[idx++] = ')'; } } for (int i = 0; i < idx; i++) { cout << ANS[i]; } cout << endl; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; using namespace std; int sp[2000514 * 7], spt; int ta[2000514], tb[2000514], tc[2000514]; int box[2000514]; void radix(int *key, int *a, int *b, int n, int m) { for (int i = 0; i <= m; i++) box[i] = 0; for (int i = 0; i < n; i++) box[key[a[i]]]++; for (int i = 1; i <= m; i++) box[i] += box[i - 1]; for (int i = n - 1; i >= 0; i--) b[--box[key[a[i]]]] = a[i]; } bool equ(int *s, int a, int b) { return s[a] == s[b] && s[a + 1] == s[b + 1] && s[a + 2] == s[b + 2]; } bool cmp(int *s, int *sa12, int a, int b) { if (s[a + 0] != s[b + 0]) return s[a + 0] < s[b + 0]; if (b % 3 == 1) return sa12[a + 1] < sa12[b + 1]; if (s[a + 1] != s[b + 1]) return s[a + 1] < s[b + 1]; return sa12[a + 2] < sa12[b + 2]; } void make_sa(int *sa, int *s, int l, int m) { for (int i = 0; i < 3; i++) { s[l + i] = 0; } int nl = 0, hl = (l + 1) / 3; for (int i = 0; i < l; i++) if (i % 3) ta[nl++] = i; radix(s + 2, ta, tb, nl, m); radix(s + 1, tb, ta, nl, m); radix(s + 0, ta, sa, nl, m); int *nsa = sp + spt; spt += nl + 3; int *ns = sp + spt; spt += nl + 3; int j = 1; ns[((sa[0]) / 3 + ((sa[0]) % 3 == 1 ? 0 : hl))] = 0; for (int i = 1; i < nl; i++) { ns[((sa[i]) / 3 + ((sa[i]) % 3 == 1 ? 0 : hl))] = equ(s, sa[i - 1], sa[i]) ? j - 1 : j++; } if (j < nl) make_sa(nsa, ns, nl, j); else for (int i = 0; i < nl; i++) nsa[ns[i]] = i; int nr = 0; for (int i = 0; i < nl; i++) { if (nsa[i] < hl) tb[nr++] = nsa[i] * 3; } if (l % 3 == 1) tb[nr++] = l - 1; radix(s, tb, ta, nr, m); for (int i = 0; i < nl; i++) { tc[tb[i] = ((nsa[i]) < hl ? (nsa[i]) * 3 + 1 : ((nsa[i]) - hl) * 3 + 2)] = i; } int p = 0, q = 0, r = 0; for (; p < nr && q < nl;) { sa[r++] = cmp(s, tc, ta[p], tb[q]) ? ta[p++] : tb[q++]; } for (; p < nr;) sa[r++] = ta[p++]; for (; q < nl;) sa[r++] = tb[q++]; spt -= (nl + 3) * 2; } char s[2000514]; int sum[2000514]; int qk[2000514]; int qx[2000514]; int qs, qe; int mx[2000514]; int sa[2000514]; int ns[2000514]; void sol() { int l = 1; for (; s[l]; l++) ; l--; for (int i = 1; i <= l; i++) s[i + l] = s[i]; s[l + l + 1] = 0; int nl = l * 2; for (int i = 1; i <= nl; i++) ns[i] = (s[i] == '(' ? 1 : 2); ns[nl + 1] = 0; for (int i = 1; i <= nl; i++) sum[i] = sum[i - 1] + (s[i] == '(' ? 1 : -1); int d = sum[l]; qs = qe = 0; for (int i = 1; i <= nl; i++) { if (qe - qs && qx[qs] <= i - l) qs++; for (; qe - qs && qk[qe - 1] >= sum[i]; qe--) ; qk[qe] = sum[i]; qx[qe] = i; qe++; mx[i] = qk[qs]; } make_sa(sa, ns + 1, nl + 1, 128); int ans = -1; for (int i = 0; i < nl + 1; i++) { int w = sa[i] + 1; if (w > l) continue; int tmn = mx[w + l - 1]; if (d < 0) { if (tmn - sum[w - 1] >= d) { ans = w; break; } } else { if (tmn - sum[w - 1] >= 0) { ans = w; break; } } } for (; d < 0; d++) putchar('('); s[ans + l] = 0; printf("%s", s + ans); for (; d > 0; d--) putchar(')'); puts(""); } int main() { while (scanf("%s", s + 1) != EOF) sol(); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const unsigned long long shift = 21, mask = (1LL << shift) - 1; int n, i, j, k, m, a[1000100], b[1000100], all[1000100], l[2000100], cnt, cur, last, now, best = -1000000000; unsigned long long f[2000100], id, lastId; char s[2000100]; int main() { scanf("%s", s + 1); n = strlen(s + 1); for (i = 1; i <= n; i++) { a[i] = a[i - 1] + (s[i] == '(' ? 1 : -1); b[i] = min(b[i - 1], a[i]); s[i + n] = s[i]; } for (i = 1; i <= 2 * n; i++) l[i - 1] = 1 + int(s[i] == ')'); for (i = n; i > 0; i--) { now = min(0, min(b[i] + last, cur)); if (now > best) { best = now; m = 0; } if (now == best) all[m++] = i; if (s[i] == ')') { last--; cur = min(cur - 1, -1); } else { last++; cur++; } } for (k = 0; k < shift; k++) { for (i = 0; i < 2 * n; i++) { long long x = l[i]; long long y = ((i + (1 << k)) >= 2 * n) ? 0 : l[i + (1 << k)]; if (x >= (1LL << shift) || y >= (1LL << shift)) puts("!"); f[i] = (((x << shift) + y) << shift) + i; } sort(f, f + 2 * n); for (lastId = -1, i = 0; i < 2 * n; i++) { id = (f[i] >> shift); if (id != lastId) { lastId = id; j = i + 1; } l[f[i] & mask] = j; } } for (i = 0; i < -best; i++) { putchar('('); cnt++; } for (i = k = 0; i < m; i++) if (l[all[k]] > l[all[i]]) k = i; for (i = 0; i < n; i++) { char ch = s[all[k] + i + 1]; cnt += (ch == '(' ? 1 : -1); putchar(ch); } for (; cnt > 0; cnt--) putchar(')'); return 0; }
7
CPP
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,inline,unroll-loops,fast-math") using namespace std; char a[4000020]; int f[4000020], g[4000020], h[4000020]; deque<int> q; void InitSA(char *s, int n, int m) { static int l[4000020], r[4000020], c[4000020]; int i, p, k; int *x, *y; x = l; y = r; for (i = 0; i < n; i++) { x[i] = s[i + 1]; c[x[i]]++; } for (i = 1; i <= m; i++) c[i] += c[i - 1]; for (i = n - 1; i > -1; i--) f[--c[x[i]]] = i; for (k = 1; k < n; k <<= 1) { for (i = n - k, p = 0; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (f[i] >= k) y[p++] = f[i] - k; for (i = 0; i <= m; i++) c[i] = 0; for (i = 0; i < n; i++) c[x[i]]++; for (i = 1; i <= m; i++) c[i] += c[i - 1]; for (i = n - 1; i > -1; i--) f[--c[x[y[i]]]] = y[i]; swap(x, y); for (i = 1, x[f[0]] = m = 0; i < n; i++) x[f[i]] = y[f[i]] == y[f[i - 1]] && y[f[i] + k] == y[f[i - 1] + k] ? m : ++m; if (m >= n) break; } return; } int main(void) { int n; int i; scanf("%s", a + 1); n = strlen(a + 1); for (i = 1; i <= n; i++) a[i + n] = a[i]; InitSA(a, n * 2, ')'); for (i = 1; i <= n * 2; i++) { g[i] = g[i - 1] + (a[i] == '(' ? 1 : -1); for (; !q.empty() && i - q.front() > n; q.pop_front()) ; for (; !q.empty() && g[q.back()] > g[i]; q.pop_back()) ; q.push_back(i); if (i >= n) h[i - n + 1] = g[q.front()]; } if (g[n] < 0) for (i = 0; i < -g[n]; i++) printf("("); for (i = 0; i < n * 2; i++) if (f[i] < n && h[f[i] + 1] - g[f[i]] >= min(g[n], 0)) break; a[f[i] + 1 + n] = 0; printf("%s", a + f[i] + 1); if (g[n] > 0) for (i = 0; i < g[n]; i++) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; char s[2000100]; int Lb[2000100 << 2], Rb[2000100 << 2]; void build(int x, int L, int R) { if (L == R) { if (s[L] == '(') Rb[x] = 1; else Lb[x] = 1; return; } int mid = L + R >> 1; build((x << 1), L, mid); build((x << 1 | 1), mid + 1, R); if (Rb[(x << 1)] > Lb[(x << 1 | 1)]) { Lb[x] = Lb[(x << 1)]; Rb[x] = Rb[(x << 1 | 1)] + Rb[(x << 1)] - Lb[(x << 1 | 1)]; } else { Lb[x] = Lb[(x << 1)] + Lb[(x << 1 | 1)] - Rb[(x << 1)]; Rb[x] = Rb[(x << 1 | 1)]; } } int lb, rb; int qury(int x, int L, int R, int l, int r) { if (l <= L && R <= r) { lb = lb + max(0, Lb[x] - rb); rb = Rb[x] + max(0, rb - Lb[x]); return lb; } int mid = L + R >> 1, res; if (l <= mid) res = qury((x << 1), L, mid, l, r); if (r > mid) res = qury((x << 1 | 1), mid + 1, R, l, r); return res; } int _wa[2000100], _wb[2000100], _wv[2000100], _ws[2000100]; int _cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void Get_Sa(int *r, int *sa, int n, int m) { int i, j, p, *x = _wa, *y = _wb, *t; for (i = 0; i < m; i++) _ws[i] = 0; for (i = 0; i < n; i++) _ws[x[i] = r[i]]++; for (i = 1; i < m; i++) _ws[i] += _ws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--_ws[x[i]]] = i; for (j = 1, p = 1; p < n; j <<= 1, m = p) { for (p = 0, i = n - j; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < n; i++) _wv[i] = x[y[i]]; for (i = 0; i < m; i++) _ws[i] = 0; for (i = 0; i < n; i++) _ws[_wv[i]]++; for (i = 1; i < m; i++) _ws[i] += _ws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--_ws[_wv[i]]] = y[i]; for (t = x, x = y, y = t, p = 1, x[sa[0]] = 0, i = 1; i < n; i++) x[sa[i]] = _cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } int rnk[2000100], ht[2000100]; void Get_H(int *r, int *sa, int n) { int i, j, k = 0; for (i = 0; i <= n; i++) rnk[sa[i]] = i; for (i = 0; i < n; ht[rnk[i++]] = k) for (k ? k-- : 0, j = sa[rnk[i] - 1]; r[i + k] == r[j + k]; k++) ; } int sa[2000100], pr[2000100]; struct Node { int l, m, id; } ax[2000100]; int cmp(const Node &a, const Node &b) { if (a.l < b.l) return 1; else if (a.l == b.l) { if (a.m < b.m) return 1; else return 0; } else return 0; } int main() { scanf("%s", s); int zer = 0, one = 0, len = strlen(s), _len = len; int sum1 = 0, sum2 = 0; for (int i = 0; i < _len; i++) if (s[i] == '(') sum1++; else sum2++; for (int i = 0; i < _len - 1; i++) s[len++] = s[i]; s[len] = 0; for (int i = 0; i < len; i++) { if (s[i] == '(') pr[i] = 1; else pr[i] = 2; } pr[len] = 0; Get_Sa(pr, sa, len + 1, 3); Get_H(pr, sa, len); build(1, 0, len - 1); for (int i = 0; i < _len; i++) { lb = rb = 0; ax[i].l = qury(1, 0, len - 1, i, i + _len - 1); ax[i].m = rnk[i]; ax[i].id = i; } sort(ax, ax + _len, cmp); int bj = ax[0].id; string ans = ""; for (int i = 0; i < ax[0].l; i++) ans += '('; for (int i = bj; i < _len; i++) ans += s[i]; for (int i = 0; i < bj; i++) ans += s[i]; int lef = sum1 + ax[0].l - sum2; for (int i = 0; i < lef; i++) ans += ')'; cout << ans << endl; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 5 * 1000 * 1000 + 13; string s; int a[N]; int n; int pos[N], c[N]; int cnt[N], tmp[N]; int curLcp[N]; inline void calcSufMasAndLCP() { s.push_back(0); n++; memset(cnt, 0, sizeof(cnt)); for (int i = 0; i < int(n); ++i) cnt[(int)s[i]]++; for (int i = 1; i <= N - 1; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) pos[--cnt[(int)s[i]]] = i; int comp = 1; c[pos[0]] = comp - 1; for (int i = 1; i <= n - 1; i++) { if (s[pos[i]] != s[pos[i - 1]]) comp++; c[pos[i]] = comp - 1; } for (int h = 0; (1 << h) < n && comp < n; h++) { for (int i = 0; i < int(n); ++i) pos[i] = (pos[i] - (1 << h) + n) % n; memset(cnt, 0, sizeof(int) * comp); for (int i = 0; i < int(n); ++i) cnt[c[i]]++; for (int i = 1; i <= comp - 1; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) tmp[--cnt[c[pos[i]]]] = pos[i]; memcpy(pos, tmp, sizeof(int) * n); comp = 1; tmp[pos[0]] = comp - 1; for (int i = 1; i <= n - 1; i++) { if (c[pos[i]] != c[pos[i - 1]] || c[(pos[i] + (1 << h)) % n] != c[(pos[i - 1] + (1 << h)) % n]) comp++; tmp[pos[i]] = comp - 1; } memcpy(c, tmp, sizeof(int) * n); } for (int i = 0; i < int(n - 1); ++i) a[i] = pos[i + 1]; int last = 0; for (int i = 0; i < int(n); ++i) { int a = i; if (c[a] == n - 1) { last = 0; continue; } int b = pos[c[a] + 1]; int val = max(0, last - 1); while (a + val < n && b + val < n && s[a + val] == s[b + val]) val++; if (c[a] > 0) curLcp[c[a] - 1] = val; last = val; } n--; } string str; char buf[N]; multiset<int> ss; bool read() { if (scanf("%s", buf) <= 0) return false; str = buf; n = int(str.size()); return true; } int ppos[N]; void solve() { int nn = n; s = str + str; n *= 2; calcSufMasAndLCP(); n = nn; for (int i = 0; i < int(n * 2); ++i) { ppos[a[i]] = i; } int bal = 0; int c = 0; int mn = 0; for (int i = 0; i < int(n); ++i) { bal += str[i] == '(' ? 1 : -1; mn = min(mn, bal); ss.insert(bal); } int sum = bal; int bestop = -mn; int pos = 0; for (int i = 0; i < int(n - 1); ++i) { int bal = str[i] == '(' ? 1 : -1; ss.erase(ss.find(bal - c)); c -= bal; ss.insert(sum - c); int mn = min(0, *ss.begin() + c); if (-mn < bestop) { bestop = -mn; pos = i + 1; } if (-mn == bestop && ppos[i + 1] < ppos[pos]) pos = i + 1; } string s = str + str; string r = s.substr(pos, n); r = string(bestop, '(') + r; sum += bestop; r = r + string(sum, ')'); printf("%s", r.c_str()); } int main() { while (read()) solve(); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2e6 + 1000; int Wa[maxn], Wb[maxn], Wv[maxn], Ws[maxn], sa[maxn]; int Rank[maxn]; int height[maxn]; set<int> S; map<int, int> M; vector<int> V; int a[maxn]; int cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void get_sa(int *r, int *sa, int n, int m) { int i, j, p, *x = Wa, *y = Wb, *t; for (i = 0; i < m; i++) Ws[i] = 0; for (i = 0; i < n; i++) Ws[x[i] = r[i]]++; for (i = 1; i < m; i++) Ws[i] += Ws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--Ws[x[i]]] = i; for (p = 1, j = 1; p < n; j *= 2, m = p) { for (p = 0, i = n - j; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < n; i++) Wv[i] = x[y[i]]; for (i = 0; i < m; i++) Ws[i] = 0; for (i = 0; i < n; i++) Ws[Wv[i]]++; for (i = 1; i < m; i++) Ws[i] += Ws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--Ws[Wv[i]]] = y[i]; for (t = x, x = y, y = t, p = 1, x[sa[0]] = 0, i = 1; i < n; i++) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } void get_height(int *r, int *sa, int n) { int i, j, k = 0; for (i = 1; i <= n; i++) Rank[sa[i]] = i; for (i = 0; i < n; height[Rank[i++]] = k) for (k ? k-- : 0, j = sa[Rank[i] - 1]; r[i + k] == r[j + k]; k++) ; } void Hinsert(int x) { if (M[x] == 0) S.insert(x); M[x]++; } void Herase(int x) { if (M[x] == 1) S.erase(x); M[x]--; } char str[maxn]; int tr, tl; int main() { cin >> str; int n = strlen(str), nl = 0, nr = 0; for (int i = 0; i < n; i++) { if (str[i] == '(') nl++, str[i] = 1; else nr++, str[i] = 2; } if (nl < nr) { tl = 0; for (int i = n - 1; i >= 0; i--) { if (str[i] == 1) tl++; a[i] = 2 * tl - (n - i); Hinsert(-a[i]); } tl = 0; for (int i = n - 1; i >= 0; i--) { if (-(*S.begin()) <= -(n - i - 1) + 2 * tl) V.push_back(i); Herase(-a[i]); if (str[i] == 1) tl++; Hinsert(-(2 * nl - n - (n - i) + 2 * tl)); } int N = 2 * n - 1; for (int i = 0; i < n; i++) a[i] = str[i]; for (int i = n; i < N; i++) a[i] = str[i - n]; get_sa(a, sa, N + 1, 4); for (int i = 1; i <= N; i++) Rank[sa[i]] = i; int maxr = N + 100, Kr = 0; for (auto i : V) { if (i + 1 >= N) break; if (Rank[i + 1] < maxr) { maxr = Rank[i + 1]; Kr = i + 1; } } a[N] = a[N - n]; for (int i = 0; i < nr - nl; i++) printf("("); for (int i = Kr; i < Kr + n; i++) printf("%c", a[i] == 2 ? ')' : '('); } else { tr = 0; for (int i = 0; i < n; i++) { if (str[i] == 2) tr++; a[i] = 2 * tr - i - 1; Hinsert(-a[i]); } tr = 0; for (int i = 0; i < n; i++) { if (-(*S.begin()) <= -i + 2 * tr) V.push_back(i); Herase(-a[i]); if (str[i] == 2) tr++; Hinsert(-(2 * nr - n - i - 1 + 2 * tr)); } int N = 2 * n - 1; for (int i = 0; i < n; i++) a[i] = str[i]; for (int i = n; i < N; i++) a[i] = str[i - n]; get_sa(a, sa, N + 1, 4); for (int i = 1; i <= N; i++) Rank[sa[i]] = i; int maxr = N + 100, Kr = 0; for (auto i : V) { if (Rank[i] < maxr) { maxr = Rank[i]; Kr = i; } } for (int i = Kr; i < Kr + n; i++) printf("%c", a[i] == 2 ? ')' : '('); for (int i = 0; i < nl - nr; i++) printf(")"); } }
7
CPP
#include <bits/stdc++.h> using namespace std; int last, cnt; int sa[2000100], rnk[2000100]; pair<int, int> tr[4200000]; char s[2000100], st[2000100]; int n; struct SAM { int l[2000100 * 2], ch[2000100 * 2][2], fa[2000100 * 2], cnt, last, len, lp[2000100 * 2]; int son[2000100 * 2], son1[2000100 * 2], lnk[2000100 * 5], nxt[2000100 * 5], tcnt, b[28], t[2000100 * 2], ec, d; bool mark[2000100 * 2]; char s[2000100]; void addedge1(int x, int y) { nxt[++ec] = son1[x]; lnk[son1[x] = ec] = y; } void add(int c) { int np = ++cnt, p = last; last = np; l[np] = ++len; mark[np] = true; lp[np] = 0; for (; p && !ch[p][c]; p = fa[p]) ch[p][c] = np; if (!p) fa[np] = 1; else { int q = ch[p][c]; if (l[p] + 1 == l[q]) fa[np] = q; else { int nq = ++cnt; lp[nq] = lp[q] + l[q] - 1 - l[p]; l[nq] = l[p] + 1; mark[nq] = false; memcpy(ch[nq], ch[q], sizeof ch[q]); fa[nq] = fa[q]; fa[q] = fa[np] = nq; for (; ch[p][c] == q; p = fa[p]) ch[p][c] = nq; } } } void dfs(int u, int *sa) { for (int p = u; p;) if (son[p]) { int v = lnk[son[p]]; son[p] = nxt[son[p]]; if (mark[v]) sa[tcnt++] = len - l[v]; p = v; } else p = fa[p]; } void addedge(int x, int y) { nxt[++ec] = son[x]; lnk[son[x] = ec] = y; } void build_tree() { memset(b, 0, sizeof b); for (int i = 2; i <= cnt; ++i) ++b[s[lp[i] + l[i] - l[fa[i]] - 1] - 'a']; for (int i = 1; i < 28; ++i) b[i] += b[i - 1]; for (int i = 2; i <= cnt; ++i) t[b[s[lp[i] + l[i] - l[fa[i]] - 1] - 'a']--] = i; for (int i = cnt - 1; i; --i) addedge(fa[t[i]], t[i]); } void construct_sa(char *ss, int n) { tcnt = 0; for (int i = 0; i < n; ++i) s[n - i - 1] = ss[i]; construct(n); build_tree(); dfs(1, sa); for (int i = 0; i < n; i++) rnk[sa[i]] = i; } void construct(int n) { len = 0; last = cnt = 1; for (int i = 0; i < n; ++i) add(s[i] - 'a'); } } sam; void build_sa() { sam.construct_sa(st, n); } pair<int, int> upd(pair<int, int> b, pair<int, int> c) { return make_pair(c.first + max(0, b.first - c.second), b.second + max(0, c.second - b.first)); } void build_tree(int l, int r, int k) { if (l == r) { if (s[l] == '(') tr[k] = make_pair(1, 0); else tr[k] = make_pair(0, 1); return; } int mid = (l + r) >> 1; build_tree(l, mid, k << 1); build_tree(mid + 1, r, k << 1 | 1); tr[k] = upd(tr[k << 1], tr[k << 1 | 1]); } pair<int, int> ret; void qry(int L, int R, int l, int r, int k) { if (L <= l && r <= R) { ret = upd(ret, tr[k]); return; } int mid = (l + r) >> 1; if (L <= mid) qry(L, R, l, mid, k << 1); if (mid < R) qry(L, R, mid + 1, r, k << 1 | 1); } int main() { scanf("%s", s); n = strlen(s); for (int i = 0; i < n; i++) s[i + n] = s[i]; n *= 2; for (int i = 0; i < n; i++) if (s[i] == '(') st[i] = 'a'; else st[i] = 'b'; build_sa(); build_tree(0, n - 1, 1); pair<int, int> ans = make_pair(0, 0); int pos = -1; for (int i = 0; i < n / 2; i++) { ret = make_pair(0, 0); qry(i, i + n / 2 - 1, 0, n - 1, 1); if (ret.first && ret.second) continue; if (pos == -1 || rnk[i] < rnk[pos]) pos = i; ans = ret; } for (int i = 0; i < ans.second; i++) putchar('('); for (int i = pos; i < pos + n / 2; i++) putchar(s[i]); for (int i = 0; i < ans.first; i++) putchar(')'); putchar('\n'); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2e6 + 6; char s[N]; int p1[N]; int p2[N]; int s1[N]; int s2[N]; long long X1 = 277, X2 = 2887; long long M1 = 1444444447, M2 = 1777777777; long long x1[N], x2[N]; struct hasher { vector<long long> h1, h2; hasher() {} string s; hasher(char *str) { s = str; int n = s.length(); h1.assign(n + 1, 0); for (int i = n - 1; i >= 0; --i) { h1[i] = (h1[i + 1] * X1 + s[i]) % M1; } } long long get(int l, int r) { return ((h1[l] - h1[r + 1] * x1[r - l + 1] % M1 + M1) % M1); } }; int cmp(hasher &s1, int i1, int j1, hasher &s2, int i2, int j2) { int l = 0, r = min(j1 - i1 + 1, j2 - i2 + 1) + 1; while (l < r) { int m = (l + r) >> 1; if (s1.get(i1, i1 + m - 1) == s2.get(i2, i2 + m - 1)) l = m + 1; else r = m; } --l; if (i1 + l > j1 && i2 + l > j2) return 0; if (i1 + l > j1) return -1; if (i2 + l > j2) return 1; return s1.s[i1 + l] < s2.s[i2 + l] ? -1 : 1; } hasher h, ho, hz; int n; void calc(int i, int &il, int &ir) { int op = p2[i]; int zp = i - p1[i] - op; int zs = s2[i + 1]; int os = n - i - s1[i + 1] - zs; il = zs; ir = op; if (os > zp) ir += os - zp; else il += zp - os; } bool cmp(int i, int j, int len, int k) { int il, ir, jl, jr; calc(i, il, ir); calc(j, jl, jr); int im = len - il - ir; int jm = len - jl - jr; if (k < il) { if (k < jl) { return cmp(i, j, len, min(il, jl)); } else if (k < jl + jm) { int d = min(il - k, jl + jm - k); int dif = cmp(ho, 0, d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else { return true; } } else if (k < il + im) { if (k < jl) { int d = min(jl - k, il + im - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, ho, 0, d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else if (k < jl + jm) { int d = min(il + im - k, jl + jm - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else { int d = min(il + im - k, len - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, hz, 0, d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } } else if (k < len) { if (k < jl) { return false; } else if (k < jl + jm) { int d = min(len - k, jl + jm - k); int dif = cmp(hz, 0, d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else { return cmp(i, j, len, len); } } else return false; } char e[N]; string ans; string func(string &s) { string res; int m = 0; for (int i = 0; i < s.length(); ++i) if (s[i] == '(') { ++m; } else { if (!m) res += "("; else --m; } res += s; while (m--) res += ")"; return res; } int main() { for (int i = x1[0] = 1; i < N; ++i) x1[i] = x1[i - 1] * X1 % M1; gets(s + 1); n = strlen(s + 1); for (int i = 1; i <= n; ++i) s[i + n] = s[i]; for (int i = n; i; --i) { if (s[i] == '(') { if (s2[i + 1]) { s1[i] = s1[i + 1] + 2; s2[i] = s2[i + 1] - 1; } else { s1[i] = s1[i + 1]; s2[i] = s2[i + 1]; } } else { s1[i] = s1[i + 1]; s2[i] = s2[i + 1] + 1; } } for (int i = 1; i <= n; ++i) { if (s[i] == ')') { if (p2[i - 1]) { p1[i] = p1[i - 1] + 2; p2[i] = p2[i - 1] - 1; } else { p1[i] = p1[i - 1]; p2[i] = p2[i - 1]; } } else { p1[i] = p1[i - 1]; p2[i] = p2[i - 1] + 1; } } int x = n * 10; vector<int> pos; for (int i = 0; i < n; ++i) { int op = p2[i]; int zp = i - p1[i] - op; int zs = s2[i + 1]; int os = n - i - s1[i + 1] - zs; int len = zs + op + max(os, zp) - min(os, zp) + n; if (x > len) { pos.clear(); x = len; } if (x == len) { pos.push_back(i); } int sl, sr; calc(i, sl, sr); } h = hasher(s + 1); for (int i = 0; i < n * 2; ++i) e[i] = '('; ho = hasher(e); for (int i = 0; i < n * 2; ++i) e[i] = ')'; hz = hasher(e); int res = pos[0]; for (int k = 1; k < pos.size(); ++k) if (cmp(pos[k], res, x, 0)) res = pos[k]; int sl, sr; calc(res, sl, sr); for (int i = 0; i < sl; ++i) printf("("); for (int i = 0; i < x - sl - sr; ++i) printf("%c", s[res + i + 1]); for (int i = 0; i < sr; ++i) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; bool b[2000005]; char c[2000005]; int h[2000005], q[2000005]; int i, j, k, n, H, T, t; int main() { scanf("%s", c + 1); n = strlen(c + 1); for (i = 1; i <= n; i++) t += (c[i] == '(') ? 1 : -1; for (i = n + 1; i <= n * 2; i++) c[i] = c[i - n]; if (t < 0) for (i = 1; i <= -t; i++) putchar('('); for (i = 1; i <= 2 * n; i++) h[i] = h[i - 1] + ((c[i] == '(') ? 1 : -1); H = 1; T = 0; for (i = 1; i <= n; i++) { for (; T && h[i] < h[q[T]]; T--) ; q[++T] = i; } for (i = 1; i <= n; i++) { if (h[q[H]] - h[i - 1] < min(t, 0)) b[i] = 1; for (; T >= H && h[n + i] < h[q[T]]; T--) ; q[++T] = n + i; if (q[H] == i) H++; } for (i = 1, j = 2;;) { for (; b[i]; i++) ; for (; b[j]; j++) ; if (i == j) for (j++; b[j]; j++) ; if (i > n || j > n) break; for (k = 0; k < n && c[i + k] == c[j + k]; k++) ; if (c[i + k] < c[j + k]) j = j + k + 1; else i = i + k + 1; } if (j < i) i = j; for (j = i; j < n + i; j++) putchar(c[j]); if (t > 0) for (i = 1; i <= t; i++) putchar(')'); }
7
CPP
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = min(a, (T1)b); } const int maxN = 1 << 21; namespace SuffixArray { int temp[maxN], inds[maxN], C[maxN], T[maxN * 4], *R, *P; bool cmp(int i, int j) { while (P[i] == P[j]) i++, j++; return P[i] < P[j]; } void brut(int n, int* T, int* res) { iota(res, res + n, 0); P = T; sort(res, res + n, cmp); } int cntSort(int n, int* T, int k) { int m = 0; if (k == 0) { for (int i = 0; i < n; i += 3) temp[m++] = i; for (int i = 1; i < n; i += 3) temp[m++] = i; } else for (int i = 2; i < n; i += 3) temp[m++] = i; for (int j = (2 - k); j > (-1); j--) { for (int i = (0); i < (m); i++) { int ind = temp[i]; int v = j & k ? R[ind + 1] : T[ind + j]; C[v]++; } for (int i = 1; C[i - 1] != m; i++) C[i] += C[i - 1]; for (int i = (m - 1); i > (-1); i--) { int ind = temp[i]; int v = j & k ? R[ind + 1] : T[ind + j]; inds[--C[v]] = ind; } fill(C, C + n + 1, 0); if (j != 0) copy(inds, inds + m, temp); } return m; } inline bool differ(int* T, int i, int j) { return T[i + 2] ^ T[j + 2] | T[i + 1] ^ T[j + 1] | T[i] ^ T[j]; } inline int newInd(int i, int p) { return i / 3 + i % 3 * p; } void calcRanks(int* sa, int n, int d = 0) { for (int i = (0); i < (n); i++) R[sa[i]] = i + d; } bool cmpMerge(int i, int j) { for (; true; i++, j++) { if (P[i] != P[j]) return P[i] < P[j]; if (i % 3 != 2 and j % 3 != 2) return R[i] < R[j]; } } void ks(int n, int* T, int* res) { if (n < 6) { brut(n, T, res); return; } int m = cntSort(n, T, 0), p = (n + 2) / 3 + 1, ctr = 2; int *A = T + n + 2, *S = res + n / 3; A[p - 1] = 1, A[m + 1] = A[m + 2] = 0; for (int i = (0); i < (m); i++) { if (i != 0 and differ(T, inds[i - 1], inds[i])) ctr++; A[newInd(inds[i], p)] = ctr; } ks(m + 1, A, S - 1); for (int i = (0); i < (m); i++) S[i] = S[i] < p ? S[i] * 3 : (S[i] - p) * 3 + 1; calcRanks(S, m, 1); R[n] = 0; int k = cntSort(n, T, 1); P = T; merge(S, S + m, inds, inds + k, res, cmpMerge); } void run(char* Tin, int n, int* sa, int* lcp, int* ranks) { R = ranks; for (int i = (0); i < (n); i++) T[i] = (int)Tin[i] + 1; T[n] = T[n + 1] = 0; n < 256 ? brut(n, T, sa) : ks(n, T, sa); calcRanks(sa, n); for (int i = 0, q = 0; i < n; i++) { if (R[i] == n - 1) continue; int j = sa[R[i] + 1]; while (T[i + q] == T[j + q]) q++; lcp[R[i]] = q; if (q != 0) q--; } } } // namespace SuffixArray char T[maxN], S[maxN]; int sum[maxN], pref[maxN], suf[maxN]; int sa[maxN], R[maxN], lcp[maxN]; void solve() { scanf("%s", T + 1); int n = strlen(T + 1); for (int i = (1); i < (n + 1); i++) sum[i] = sum[i - 1] + (T[i] == '(' ? 1 : -1); pref[0] = suf[n + 1] = maxN; for (int i = (1); i < (n + 1); i++) pref[i] = min(pref[i - 1], sum[i]); for (int i = (n); i > (-1); i--) suf[i] = min(suf[i + 1], sum[i]); copy(T + 1, T + n + 1, S); copy(S, S + n, S + n); SuffixArray::run(S, n * 2, sa, lcp, R); pref[0] = 0; int opt = maxN * 3, ind = 0; for (int i = (1); i < (n + 1); i++) { int mn = min(suf[i] - sum[i - 1], (sum[n] - sum[i - 1]) + pref[i - 1]); int prop = sum[n]; if (mn < 0) prop -= mn * 2; if (opt > prop or (opt == prop and R[i - 1] < R[ind - 1])) opt = prop, ind = i; } int mn = min(suf[ind] - sum[ind - 1], (sum[n] - sum[ind - 1]) + pref[ind - 1]); for (int _ = (0); _ < (-mn); _++) printf("("); printf("%s", T + ind); T[ind] = 0; printf("%s", T + 1); sum[n] -= min(mn, 0); for (int _ = (0); _ < (sum[n]); _++) printf(")"); printf("\n"); } int main() { int t = 1; for (int tid = (1); tid < (t + 1); tid++) { solve(); } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; template <class T> void debug(T a, T b) { ; } template <class T> void chmin(T& a, const T& b) { if (a > b) a = b; } template <class T> void chmax(T& a, const T& b) { if (a < b) a = b; } namespace std { template <class S, class T> ostream& operator<<(ostream& out, const pair<S, T>& a) { out << '(' << a.first << ',' << a.second << ')'; return out; } } // namespace std long long int readL() { long long int res; scanf("%I64d", &res); return res; } void printL(long long int res) { printf("%I64d", res); } namespace lib { static const int MAX_K = 2000005; static const int MAX_N = 2000005; static int bkt[MAX_K + 1]; static void setBuckets(int* s, int n, int K, bool end) { for (int i = 0; i <= K; ++i) bkt[i] = 0; for (int i = 0; i < n; ++i) bkt[s[i]]++; int sum = 0; for (int i = 0; i <= K; ++i) { sum += bkt[i]; bkt[i] = (end ? sum : sum - bkt[i]); } } static void induceSAL(const vector<bool>& t, int* SA, int* s, int n, int K, bool end) { setBuckets(s, n, K, end); int j; for (int i = 0; i < n; ++i) { j = SA[i] - 1; if (j >= 0 && !t[j]) SA[bkt[s[j]]++] = j; } } static void induceSAS(const vector<bool>& t, int* SA, int* s, int n, int K, bool end) { setBuckets(s, n, K, end); int j; for (int i = n - 1; i >= 0; --i) { j = SA[i] - 1; if (j >= 0 && t[j]) SA[--bkt[s[j]]] = j; } } static void SA_IS(int* s, int* SA, int n, int K) { vector<bool> t(n); t[n - 1] = 1; t[n - 2] = 0; for (int i = n - 3; i >= 0; --i) { if (s[i] < s[i + 1] || (s[i] == s[i + 1] && t[i + 1] == 1)) t[i] = 1; else t[i] = 0; } setBuckets(s, n, K, true); for (int i = 0; i < n; ++i) SA[i] = -1; for (int i = 1; i < n; ++i) if ((i > 0 && t[i] && !t[i - 1])) SA[--bkt[s[i]]] = i; induceSAL(t, SA, s, n, K, false); induceSAS(t, SA, s, n, K, true); int n1 = 0; for (int i = 0; i < n; ++i) if ((SA[i] > 0 && t[SA[i]] && !t[SA[i] - 1])) SA[n1++] = SA[i]; for (int i = n1; i < n; ++i) SA[i] = -1; int rank = 0, prev = -1; for (int i = 0; i < n1; ++i) { int pos = SA[i]; bool dif = false; for (int d = 0; d < n; ++d) { if (prev == -1 || s[pos + d] != s[prev + d] || t[pos + d] != t[prev + d]) { dif = true; break; } else if (d > 0 && ((pos + d > 0 && t[pos + d] && !t[pos + d - 1]) || (prev + d > 0 && t[prev + d] && !t[prev + d - 1]))) break; } if (dif) { ++rank; prev = pos; } pos >>= 1; SA[n1 + pos] = rank - 1; } for (int i = n - 1, j = n - 1; i >= n1; --i) if (SA[i] >= 0) SA[j--] = SA[i]; int *SA1 = SA, *s1 = SA + n - n1; if (rank < n1) SA_IS(s1, SA1, n1, rank - 1); else for (int i = 0; i < n1; ++i) SA1[s1[i]] = i; setBuckets(s, n, K, true); for (int i = 1, j = 0; i < n; ++i) if ((i > 0 && t[i] && !t[i - 1])) s1[j++] = i; for (int i = 0; i < n1; ++i) SA1[i] = s1[SA1[i]]; for (int i = n1; i < n; ++i) SA[i] = -1; for (int i = n1 - 1, j; i >= 0; --i) { j = SA[i]; SA[i] = -1; SA[--bkt[s[j]]] = j; } induceSAL(t, SA, s, n, K, false); induceSAS(t, SA, s, n, K, true); } static int tmp[MAX_N]; static void SA_IS(char* s, int* SA, int n) { for (int i = 0; i < (n); ++i) tmp[i] = s[i]; SA_IS(tmp, SA, n, 260); } }; // namespace lib static const int MAX_N = 2000005; int sa[MAX_N]; char s[2000005]; int n; int hei[2000005], nxt[2000005]; int main() { scanf("%s", s); n = strlen(s); for (int i = 0; i < (n); ++i) s[i + n] = s[i]; int n2 = n * 2; hei[0] = 0; for (int i = 0; i < (n2); ++i) { hei[i + 1] = hei[i] + (s[i] == '(' ? 1 : -1); } priority_queue<pair<int, int> > pq; for (int i = 0; i < (n2); ++i) nxt[i] = n2; int d = hei[n]; int dif; if (d >= 0) dif = 0; else dif = -d; for (int i = 0; i < (n2); ++i) { while (!pq.empty() && pq.top().first > hei[i] + dif) { nxt[pq.top().second] = i; pq.pop(); } pq.push(make_pair(hei[i], i)); } lib::SA_IS(s, sa, n * 2 + 1); string res; int p = -1; for (int i = 0; i < (n2 + 1); ++i) { if (sa[i] < n && nxt[sa[i]] >= sa[i] + n) { p = sa[i]; break; } } if (d < 0) for (int i = 0; i < (-d); ++i) res += '('; for (int i = 0; i < (n); ++i) res += s[p + i]; if (d > 0) for (int i = 0; i < (d); ++i) res += ')'; printf("%s\n", res.c_str()); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; template <class T> inline bool getmin(T *a, const T &b) { if (b < *a) { *a = b; return true; } return false; } template <class T> inline bool getmax(T *a, const T &b) { if (b > *a) { *a = b; return true; } return false; } template <class T> inline void read(T *a) { char c; while (isspace(c = getchar())) { } bool flag = 0; if (c == '-') flag = 1, *a = 0; else *a = c - 48; while (isdigit(c = getchar())) *a = *a * 10 + c - 48; if (flag) *a = -*a; } const int mo = 1000000007; template <class T> T pow(T a, T b, int c = mo) { T res = 1; for (T i = 1; i <= b; i <<= 1, a = 1LL * a * a % c) if (b & i) res = 1LL * res * a % c; return res; } const int N = 2100000; unsigned long long h[N]; unsigned long long e[N]; int h2[N], e2[N]; char s[N]; int n; unsigned long long get(int x, int l) { return h[x + l - 1] - h[x - 1] * e[l]; } int get2(int x, int l) { return (h2[x + l - 1] - 1LL * h2[x - 1] * e2[l] % mo + mo) % mo; } bool cmp(int x, int y) { int l = 1, r = n, z = 0; if (!y) return true; while (l <= r) { int mid = (l + r) >> 1; if (get(x, mid) == get(y, mid) && get2(x, mid) == get2(y, mid)) z = mid, l = mid + 1; else r = mid - 1; } return s[x + z] < s[y + z]; } set<pair<int, int> > S; int a[N]; int main() { scanf("%s", s + 1); n = strlen(s + 1); for (int i = (1); i <= (n); ++i) s[n + i] = s[i]; e[0] = 1; e2[0] = 1; for (int i = (1); i <= (2 * n); ++i) e[i] = e[i - 1] * 1331; for (int i = (1); i <= (2 * n); ++i) e2[i] = 1LL * e2[i - 1] * 1331 % mo; for (int i = (1); i <= (2 * n); ++i) h[i] = h[i - 1] * 1331 + s[i]; for (int i = (1); i <= (2 * n); ++i) h2[i] = (1LL * h2[i - 1] * 1331 % mo + s[i]) % mo; int x = 0, y = 0; for (int i = (1); i <= (n); ++i) if (s[i] == '(') a[i] = a[i - 1] + 1, ++x; else a[i] = a[i - 1] - 1, ++y; for (int i = (1); i <= (n); ++i) S.insert(std::make_pair(a[i], i)); int ans = 0; if (x > y) { int tmp = 0; for (int i = (1); i <= (n); ++i) { if (S.begin()->first - tmp >= 0) if (cmp(i, ans)) ans = i; set<pair<int, int> >::iterator it = S.find(std::make_pair(a[i], i)); S.erase(it); if (s[i] == '(') ++tmp; else --tmp; S.insert(std::make_pair(x - y + tmp, i)); } for (int i = (ans); i <= (ans + n - 1); ++i) putchar(s[i]); for (int i = (1); i <= (x - y); ++i) putchar(')'); } else { int tmp = 0; for (int i = (1); i <= (n); ++i) { if (S.begin()->first - tmp >= x - y) if (cmp(i, ans)) ans = i; set<pair<int, int> >::iterator it = S.find(std::make_pair(a[i], i)); S.erase(it); if (s[i] == '(') ++tmp; else --tmp; S.insert(std::make_pair(x - y + tmp, i)); } for (int i = (1); i <= (y - x); ++i) putchar('('); for (int i = (ans); i <= (ans + n - 1); ++i) putchar(s[i]); } cout << endl; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2e6 + 100; int na[N], nb[N], ns[N], nv[N]; int sa[N], he[N], rk[N]; int cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void _sort(int x[N], int y[N], int n, int m) { for (int i = 0; i < m; i++) ns[i] = 0; for (int i = 0; i < n; i++) ns[x[y[i]]]++; for (int i = 1; i < m; i++) ns[i] += ns[i - 1]; for (int i = n - 1; i >= 0; i--) { sa[--ns[x[y[i]]]] = y[i]; } } void da(int *r, int n, int m) { int *x = na, *y = nb; for (int i = 0; i < n; i++) x[i] = r[i]; for (int i = 0; i < n; i++) y[i] = i; for (int i = 0; i < m; i++) ns[i] = 0; for (int i = 0; i < n; i++) ns[x[i] = r[i]]++; for (int i = 1; i < m; i++) ns[i] += ns[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--ns[x[i]]] = i; for (int j = 1, p = 1, i; p < n; j *= 2, m = p) { for (p = 0, i = n - j; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < n; i++) nv[i] = x[y[i]]; for (i = 0; i < m; i++) ns[i] = 0; for (i = 0; i < n; i++) ns[nv[i]]++; for (i = 1; i < m; i++) ns[i] += ns[i - 1]; for (i = n - 1; i >= 0; i--) sa[--ns[nv[i]]] = y[i]; swap(x, y); p = 1; x[sa[0]] = 0; for (i = 1; i < n; i++) { x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } } void gethe(int *r, int n) { for (int i = 1; i <= n; i++) rk[sa[i]] = i; for (int i = 0, k = 0, j = 0; i < n; he[rk[i++]] = k) { for (k ? k-- : 0, j = sa[rk[i] - 1]; r[i + k] == r[j + k]; k++) ; } } void debug(int n) { for (int i = 0; i <= n; i++) printf("%d ", rk[i]); printf("rk\n"); for (int i = 0; i <= n; i++) printf("%d ", sa[i]); printf("sa\n"); for (int i = 0; i <= n; i++) printf("%d ", he[i]); printf("he\n"); } void solve(int *r, int n) { r[n] = 0; da(r, n + 1, 3); gethe(r, n); } int l, r, sta[N]; int aa[N], bb[N]; void ins(int id) { while (r > l && aa[sta[r - 1]] >= aa[id]) r--; sta[r++] = id; } char ss[N]; int vis[N]; int main() { while (scanf("%s", ss) != EOF) { int n = strlen(ss); int num = 0; for (int i = 0; i < n; i++) { if (ss[i] == '(') { aa[i] = 1; bb[i] = 1; num++; } else { aa[i] = -1; bb[i] = 2; num--; } } for (int i = 0; i < n; i++) { aa[i + n] = aa[i]; bb[i + n] = bb[i]; } for (int i = 1; i < 2 * n; i++) { aa[i] += aa[i - 1]; } memset(vis, 0, sizeof(vis)); l = r = 0; for (int i = 0; i < n; i++) { ins(i); } for (int i = 0; i < n; i++) { if (sta[l] < i) l++; int x = aa[sta[l]]; if (i) x -= aa[i - 1]; if (num < 0) { x += -num; } if (x >= 0) { vis[i] = 1; } ins(i + n); } solve(bb, n * 2); int id = -1; for (int i = 0; i < n; i++) if (vis[i]) { if (id == -1 || rk[i] < rk[id]) { id = i; } } if (id == -1) { printf("x\n"); continue; } for (int i = 0; i < -num; i++) { printf("("); } for (int i = 0; i < n; i++) { printf("%c", ss[id]); id++; if (id == n) id = 0; } for (int i = 0; i < num; i++) { printf(")"); } printf("\n"); } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; int best_value = 0; void update_best(int value) { if (value > best_value) { best_value = value; } } vector<bool> a(2000000); vector<int> minleft(1000000); vector<int> minright(1000000); vector<int> b(1000000); vector<int> increasing(1000000); vector<int> good(1000000); int main() { int n = 0, z = 0; char t; for (;;) { if (!(cin >> t)) { break; } if (t == '(') { z++; } else { a[0] = true; n = 1; break; } } for (;; ++n) { if (!(cin >> t)) { break; } if (t == '(') { a[n] = false; } else { a[n] = true; } } for (int i = 0; i < z; ++i) { a[n] = false; n++; } for (int i = 0; i < n; ++i) { a[n + i] = a[i]; } int balance = 0, min = 0; for (int i = 0; i < n; ++i) { minleft[i] = min; b[i] = balance; if (a[i] == false) { balance++; } else { balance--; if (min > balance) { min = balance; } } } int total = balance; min = balance; for (int i = n - 1; i >= 0; --i) { minright[i] = min; if (a[i] == false) { balance--; if (min > balance) { min = balance; } } else { balance++; } } balance = total; int incr = 0; for (int i = n - 1; i >= 0; --i) { if (a[i] == false) { incr++; } else { incr = 0; } increasing[i] = incr; } if (balance <= 0) { for (int i = 0; i < n; ++i) { good[i] = 0; if (minleft[i] == b[i] && minright[i] - balance >= b[i]) { update_best(increasing[i]); good[i] = 1; } } } else { if (minright[0] >= 0) { update_best(increasing[0]); good[0] = 1; } for (int i = 0; i < n - 1; ++i) { good[i + 1] = 0; if (minright[i] == b[i + 1] && b[i + 1] - balance <= minleft[i]) { update_best(increasing[i + 1]); good[i + 1] = 1; } } } int first = -1, second = -1; for (int i = 0; i < n; ++i) { if (increasing[i] == best_value && good[i] == 1) { if (first == -1) { first = i; } else if (second == -1) { second = i; } } else { good[i] = 0; } } if (first == -1) return 1; if (second != -1) { int len = best_value; while (true) { do { if (first + len == second || second + len == first) { break; } len++; } while (a[first + len] == a[second + len]); if (second + len == first) { swap(first, second); } else if (a[first + len] == true) { swap(first, second); } second += len; len = best_value; while (second < n && (good[second] == 0 || second == first)) { second++; } if (second >= n) { break; } } } int best_position = first; if (balance <= 0) { for (int i = 0; i < -balance; ++i) { cout << "("; } } for (int i = best_position; i < n; ++i) { cout << (a[i] == false ? "(" : ")"); } for (int i = 0; i < best_position; ++i) { cout << (a[i] == false ? "(" : ")"); } if (balance > 0) { for (int i = 0; i < balance; ++i) { cout << ")"; } } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; struct H { long long a, b; H(long long a = 1, long long b = 1) : a(a), b(b) {} H operator*(long long x) { return H(a * x, b * x % 1000000007); } H operator*(H h) { return H(a * h.a, b * h.b % 1000000007); } H operator+(H h) { return H(a + h.a, (b + h.b) % 1000000007); } H operator-(H h) { return H(a - h.a, (b - h.b + 1000000007) % 1000000007); } bool operator==(H h) { return a == h.a && b == h.b; } }; int n; string s; H p[2 * 1000010], h[2 * 1000010]; int pre[1000010], suf[1000010]; int pmn[1000010], smx[1000010]; H get(int a, int len) { H res = h[a + len - 1]; if (a > 0) res = res - h[a - 1]; return res; } bool equal(int a, int b, int len) { if (a < b) swap(a, b); H ha = get(a, len); H hb = get(b, len) * p[a - b]; return ha == hb; } bool test(int a, int b) { int lo = 0, hi = n + 1, mid; while (hi - lo > 1) { mid = (lo + hi) / 2; if (equal(a, b, mid)) lo = mid; else hi = mid; } if (lo == n) return 0; return s[a + lo] < s[b + lo]; } int main() { ios::sync_with_stdio(0); p[0] = H(); for (int i = 1; i < 2 * 1000010; i++) p[i] = p[i - 1] * 17; cin >> s; n = s.size(); for (int i = 0; i < n; i++) pre[i] = suf[i] = s[i] == '(' ? 1 : -1; for (int i = 1; i < n; i++) pre[i] += pre[i - 1]; for (int i = n - 2; i >= 0; i--) suf[i] += suf[i + 1]; pmn[0] = 1000010; for (int i = 1; i < n; i++) { pmn[i] = min(pmn[i - 1], pre[i - 1] + pre[n - 1]); } for (int i = n - 1, x = 1000010; i >= 0; i--) { x = min(x, pre[i]); pmn[i] = min(pmn[i], x); } smx[n] = -1000010; for (int i = n - 1; i >= 0; i--) { smx[i] = max(smx[i + 1], suf[i] + suf[0]); } for (int i = 1, x = -1000010; i < n; i++) { x = max(x, suf[i - 1]); smx[i] = max(smx[i], x); } for (int i = 1; i < n; i++) pmn[i] -= pre[i - 1]; for (int i = n - 1; i >= 0; i--) smx[i] -= suf[i]; s = s + s; for (int i = 0; i < n + n; i++) { h[i] = p[i] * (s[i] - '('); if (i > 0) h[i] = h[i] + h[i - 1]; } int a = -1; for (int i = 0; i < n; i++) { if (suf[0] >= 0 && pmn[i] < 0) continue; if (suf[0] <= 0 && smx[i] > 0) continue; if (a < 0 || test(i, a)) a = i; } for (int i = 0; i < -suf[0]; i++) cout << '('; for (int i = 0; i < n; i++) cout << s[a + i]; for (int i = 0; i < suf[0]; i++) cout << ')'; cout << '\n'; }
7
CPP
#include <bits/stdc++.h> using namespace std; int ans, mini, N, lg, dp[22][1000009], s[2000009], pos[1000009]; char sir[2000009]; pair<pair<int, int>, int> A[2000009]; deque<int> dq; int main() { gets(sir + 1), N = strlen(sir + 1), ans = -1; for (int i = N + 1; i <= 2 * N; i++) sir[i] = sir[i - N]; for (int i = 1; i <= 2 * N; i++) { s[i] = s[i - 1]; if (sir[i] == '(') s[i]++; else s[i]--; if (s[i] < mini && i < N) mini = s[i]; } for (int i = 1; i <= N; i++) dp[0][i] = sir[i], A[i] = make_pair(make_pair(0, 0), i); for (int i = 1; (1 << (i - 1)) <= N; i++) { int P = (1 << (i - 1)); for (int j = 1; j <= N; j++) { int k = A[j].second; A[j].first.first = dp[i - 1][k]; if (k + P <= N) A[j].first.second = dp[i - 1][k + P]; else A[j].first.second = dp[i - 1][k + P - N]; } sort(A + 1, A + N + 1); for (int j = 1; j <= N; j++) dp[i][A[j].second] = dp[i][A[j - 1].second] + (j == 1 || A[j].first != A[j - 1].first); } for (int i = 1; i <= N; i++) pos[A[i].second] = i; int Konst = 0; if (s[N] < 0) Konst = s[N]; int j = 0; for (int i = 0; i < N; i++) { while (j <= i + N) { while (!dq.empty() && s[dq.back()] >= s[j]) dq.pop_back(); dq.push_back(j); while (dq.front() <= j - N) dq.pop_front(); j++; } if (s[dq.front()] - s[i] >= Konst) { if (ans == -1) ans = i + 1; else { if (pos[i + 1] < pos[ans]) ans = i + 1; } } } while (s[N] < 0) printf("("), s[N]++; for (int i = ans; i <= N + ans - 1; i++) printf("%c", sir[i]); while (s[N] > 0) printf(")"), s[N]--; printf("\n"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 4000010; inline int read() { int x = 0; int f = 0, c = getchar(); for (; c > '9' || c < '0'; f = c == '-', c = getchar()) ; for (; c >= '0' && c <= '9'; c = getchar()) x = (x << 3) + (x << 1) + c - '0'; return f ? -x : x; } struct cqz { int i, x, y; cqz(int a = 0, int b = 0, int c = 0) { i = a; x = b; y = c; } } a[N]; inline bool operator<(const cqz& i, const cqz& j) { return i.x < j.x || (i.x == j.x && i.y < j.y); } inline bool operator!=(const cqz& i, const cqz& j) { return i.x != j.x || i.y != j.y; } char s[N]; int sta[N], top, p[N]; int n, m, rk[N], sm, sl, sr, ans, flag; int main() { scanf("%s", s + 1); n = strlen(s + 1); m = n; register int i, j, k; for (i = 1; i <= n; i++) s[i + n] = s[i]; for (i = 1; i <= n; i++) rk[i] = s[i]; for (k = 1; k < n; k <<= 1) { for (i = 1; i <= n; i++) a[i] = cqz(i, rk[i], rk[(i + k - 1) % n + 1]); sort(a + 1, a + n + 1); for (i = j = 1; i <= n; i++) rk[a[i].i] = j, j += a[i + 1] != a[i]; if (j > n) break; } n = n + n; for (i = n - 1; i > m; i--) if (s[i] == '(') { if (sl) sm++, sl--; else sr++; } else sl++; k = 1e9; for (i = 1; i <= n; i++) if (s[i] == '(') sta[++top] = i; else { p[i] = sta[top]; if (top) top--; } for (i = m; i; i--) { if (s[i] == '(') { if (sl) sm++, sl--; else sr++; } else sl++; if (!sl || !sr) { flag = sl - sr; if (rk[i] < k) ans = i, k = rk[i]; } if (s[i + m - 1] == '(') sr--; else { if (p[i + m - 1] > i) sm--, sr++; else sl--; } } if (flag > 0) while (flag) putchar('('), flag--; for (i = 0; i < m; i++) putchar(s[ans + i]); if (flag < 0) while (flag++) putchar(')'); puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 4000000 + 5; int n, gs[maxn], sa[maxn], wb[maxn], wv[maxn], ran[maxn], sum[maxn], pre[maxn], suf[maxn]; char s[maxn]; inline int check(char a) { if (a == '(') return 1; if (a == ')') return -1; } inline bool cmp(int *x, int a, int b, int l) { return x[a] == x[b] && x[a + l] == x[b + l]; } inline void da(int *sa, int *x, int n, int m) { int i, j, p, *y = wb; for (i = 0; i < m; i++) gs[i] = 0; for (i = 0; i < n; i++) gs[x[i]]++; for (i = 1; i < m; i++) gs[i] += gs[i - 1]; for (i = n - 1; ~i; i--) sa[--gs[x[i]]] = i; for (j = 1, p = 1; p < n; j <<= 1, m = p) { for (i = n - j, p = 0; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < n; i++) wv[i] = x[y[i]]; for (i = 0; i < m; i++) gs[i] = 0; for (i = 0; i < n; i++) gs[wv[i]]++; for (i = 1; i < m; i++) gs[i] += gs[i - 1]; for (i = n - 1; ~i; i--) sa[--gs[wv[i]]] = y[i]; p = 1; swap(x, y); x[sa[0]] = 0; for (i = 1; i < n; i++) x[sa[i]] = cmp(y, sa[i], sa[i - 1], j) ? p - 1 : p++; } } signed main(void) { scanf("%s", s); n = strlen(s); for (int i = 0; i < n; i++) ran[i] = (int)s[i]; for (int i = n; i < 2 * n; i++) ran[i] = (int)s[i - n], s[i] = s[i - n]; da(sa, ran, 2 * n + 1, 47); for (int i = 0; i < n; i++) sum[i] = sum[i - 1] + check(s[i]); pre[0] = sum[0]; for (int i = 1; i < n; i++) pre[i] = min(pre[i - 1], sum[i]); suf[n - 1] = sum[n - 1]; for (int i = n - 2; i >= 0; i--) suf[i] = min(suf[i + 1], sum[i]); for (int i = 1; i <= 2 * n; i++) if (sa[i] < n) { int tmp = min(suf[sa[i]] - sum[sa[i] - 1], sum[n - 1] - sum[sa[i] - 1] + pre[sa[i] - 1]); if (sum[n - 1] >= 0 && tmp >= 0) { for (int j = 0; j < n; j++) printf("%c", s[sa[i] + j]); for (int j = 0; j < sum[n - 1]; j++) printf(")"); puts(""); break; } tmp = min(sum[n - 1] - sum[sa[i] - 1] + pre[sa[i] - 1] - sum[n - 1], suf[sa[i]] - sum[sa[i] - 1] - sum[n - 1]); if (sum[n - 1] < 0 && tmp >= 0) { for (int j = 0; j < -sum[n - 1]; j++) printf("("); for (int j = 0; j < n; j++) printf("%c", s[sa[i] + j]); puts(""); break; } } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2000000 + 5; int wa[N], wb[N], wc[N], wv[N]; bool cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void da(int *r, int *sa, int n, int m) { int *x = wa, *y = wb; for (int i = 0; i < m; i++) wc[i] = 0; for (int i = 0; i < n; i++) wc[x[i] = r[i]]++; for (int i = 1; i < m; i++) wc[i] += wc[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--wc[x[i]]] = i; for (int j = 1, p = 1; p < n; j <<= 1, m = p) { p = 0; for (int i = n - j; i < n; i++) y[p++] = i; for (int i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (int i = 0; i < n; i++) wv[i] = x[y[i]]; for (int i = 0; i < m; i++) wc[i] = 0; for (int i = 0; i < n; i++) wc[wv[i]]++; for (int i = 1; i < m; i++) wc[i] += wc[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--wc[wv[i]]] = y[i]; int *t = x; x = y; y = t; p = 1; x[sa[0]] = 0; for (int i = 1; i < n; i++) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } void calheight(int *r, int *sa, int *rk, int *height, int n) { for (int i = 1; i <= n; i++) rk[sa[i]] = i; int k = 0; for (int i = 0; i < n; height[rk[i++]] = k) { if (k) k--; for (int j = sa[rk[i] - 1]; r[i + k] == r[j + k]; k++) ; } } int rq[N][22], Log[N]; void build_rmq(int *a, int n) { for (int i = 0; i < n; i++) rq[i][0] = a[i]; for (int j = 1; j < 21; j++) { for (int i = 0; i + (1 << j) - 1 < n; i++) rq[i][j] = min(rq[i][j - 1], rq[i + (1 << j - 1)][j - 1]); } int cr = 0; for (int i = 1; i <= n; i++) { if ((1 << cr + 1) <= i) cr++; Log[i] = cr; } } int query_rmq(int l, int r) { int k = Log[r - l + 1]; return min(rq[l][k], rq[r - (1 << k) + 1][k]); } char s[N]; int a[N], sa[N], rk[N], height[N]; int sum[N]; int n; bool check(int id, int need) { int pre = 0; if (id > 0) pre = sum[id - 1]; int mn = query_rmq(id, id + n - 1); if (need < 0) mn -= need; return mn >= pre; } void solve() { n = strlen(s); for (int i = 0; i < n; i++) { a[i] = s[i] == '(' ? 1 : 2; } for (int i = n; i < n << 1; i++) a[i] = a[i - n]; a[n << 1] = 0; da(a, sa, n << 1 | 1, 3); calheight(a, sa, rk, height, n << 1); sum[0] = a[0] == 1 ? 1 : -1; for (int i = 1; i < (n << 1); i++) sum[i] = sum[i - 1] + (a[i] == 1 ? 1 : -1); build_rmq(sum, n << 1); int need = sum[n - 1]; int ans = -1; for (int i = 0; i < n; i++) { if (check(i, need)) { if (ans == -1 || rk[ans] > rk[i]) { ans = i; } } } if (need < 0) { for (int i = 0; i < -need; i++) printf("("); for (int i = 0; i < n; i++) { if (a[i + ans] > 1) printf(")"); else printf("("); } puts(""); } else { for (int i = 0; i < n; i++) { if (a[i + ans] > 1) printf(")"); else printf("("); } for (int i = 0; i < need; i++) printf(")"); puts(""); } } int main() { scanf("%s", s); solve(); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; int m; char s[2000100]; int a[2000100], pre[2000100], suf[2000100]; int sa[2000100], rnk[2000100], lcp[2000100], cnt[2000100]; void build(char *s) { int n = strlen(s) + 1, m = 256; int *x = rnk, *y = lcp, *z; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i] = s[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[i]]] = i; for (int j = 1, p = 1; p < n; j <<= 1, m = p) { p = 0; for (int i = n - j; i < n; i++) y[p++] = i; for (int i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[y[i]]]] = y[i]; z = x, x = y, y = z; x[sa[0]] = 0, p = 1; for (int i = 1; i < n; i++) { x[sa[i]] = (y[sa[i]] == y[sa[i - 1]] && y[sa[i] + j] == y[sa[i - 1] + j]) ? p - 1 : p++; } } } int main() { scanf("%s", s + 1); m = strlen(s + 1); for (int i = 1; i <= m; i++) a[i] = a[i - 1] + (s[i] == '(' ? 1 : -1); pre[0] = 2000100; for (int i = 1; i <= m; i++) pre[i] = min(pre[i - 1], a[i]); suf[m + 1] = 2000100; for (int i = m; i >= 0; i--) suf[i] = min(suf[i + 1], a[i]); for (int i = 1; i <= m; i++) s[m + i] = s[i]; build(s + 1); for (int i = 0; i <= 2 * m; i++) if (sa[i] < m) { int j = sa[i] + 1; bool ok = 0; if (a[m] >= 0) { if (min(suf[j], a[m] + pre[j - 1]) >= a[j - 1]) { ok = 1; } } else { if (min(-a[m] + suf[j], pre[j - 1]) >= a[j - 1]) { ok = 1; } } if (ok) { rotate(s + 1, s + j, s + m + 1); s[m + 1] = 0; if (a[m] >= 0) { printf("%s", s + 1); while (a[m]--) putchar(')'); } else { a[m] = -a[m]; while (a[m]--) putchar('('); printf("%s", s + 1); } return 0; } } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2e6 + 10; const long long md = 1e9 + 7; int need[N], reduce[N]; long long st[N], head[N], tail[N], sdfsdfsd[N]; int n; string s; struct candidate { int start, headLen, tailLen; candidate() {} candidate(int start, int headLen, int tailLen) : start(start), headLen(headLen), tailLen(tailLen) {} }; long long getSuperHash(int l, int r) { if (l == 0 && r == n - 1) { return sdfsdfsd[l]; } if (l < n && r >= n) { return (sdfsdfsd[l] + sdfsdfsd[r] * st[n - l]) % md; } if (l >= n) { l -= n; r -= n; } if (r == n - 1) { return sdfsdfsd[l]; } r++; long long res = (sdfsdfsd[l] - sdfsdfsd[r] * st[r - l]) % md; return (res + md) % md; } long long getHash(candidate i, int len) { if (len <= i.headLen) { return head[len]; } long long res = head[i.headLen]; len -= i.headLen; if (len <= n) { return (res + getSuperHash(i.start, i.start + len - 1) * st[i.headLen]) % md; } res += getSuperHash(i.start, i.start + n - 1) * st[i.headLen]; res %= md; len -= n; return (res + st[n + i.headLen] * tail[len]) % md; } char compare(candidate last, candidate cur) { int l = 0, r = n + cur.headLen + cur.tailLen; if (getHash(last, r) == getHash(cur, r)) { return true; } while (l + 1 < r) { int len = (l + r) / 2; (getHash(last, len) == getHash(cur, len) ? l : r) = len; } int p = getHash(last, r) == getHash(cur, r) ? r : l; if (p < last.headLen) { return true; } p -= last.headLen; assert(p < n + last.tailLen); return p < n ? s[last.start + p] == '(' : false; } int main() { st[0] = 1; for (int i = 1; i < N; i++) { st[i] = st[i - 1] * 239 % md; head[i] = (head[i - 1] + st[i]) % md; tail[i] = (tail[i - 1] + st[i] * 2) % md; } getline(cin, s); n = s.length(); s += s; need[n - 1] = s[n - 1] == ')'; reduce[n - 1] = s[n - 1] == '('; sdfsdfsd[n - 1] = s[n - 1] - '(' + 1; need[n] = s[n] == ')'; reduce[n] = s[n] == '('; sdfsdfsd[n] = s[n] - '(' + 1; for (int i = n - 2; i >= 0; i--) { need[i] = s[i] == ')'; reduce[i] = s[i] == '('; int take = min(reduce[i], need[i + 1]); need[i] = need[i] + need[i + 1] - take; reduce[i] = reduce[i] + reduce[i + 1] - take; sdfsdfsd[i] = (s[i] - '(' + 1 + sdfsdfsd[i + 1] * st[1]) % md; } for (int i = n + 1; i < n * 2; i++) { need[i] = s[i] == ')'; reduce[i] = s[i] == '('; int take = min(reduce[i - 1], need[i]); need[i] = need[i] + need[i - 1] - take; reduce[i] = reduce[i] + reduce[i - 1] - take; sdfsdfsd[i] = (sdfsdfsd[i - 1] + st[i - n] * (s[i] - '(' + 1)) % md; } int minCost = need[0] + reduce[0]; vector<candidate> c; c.emplace_back(0, need[0], reduce[0]); for (int l = 1, r = n; l < n; l++, r++) { int take = min(reduce[l], need[r]), need, reduce; need = ::need[l] + ::need[r] - take; reduce = ::reduce[l] + ::reduce[r] - take; if (need + reduce > minCost) { continue; } if (need + reduce < minCost) { c.clear(); } minCost = need + reduce; c.emplace_back(l, need, reduce); } for (candidate i : c) if (!compare(c[0], i)) { c[0] = i; } while (c[0].headLen--) { printf("("); } for (int i = 0; i < n; i++) { printf("%c", s[i + c[0].start]); } while (c[0].tailLen--) { printf(")"); } }
7
CPP
#include <bits/stdc++.h> using namespace std; bool debug; const int inf = 1e9 + 5; const long long INF = (long long)inf * inf; const int nax = 1e6 + 5; const int D = 5; const long long MM = 1000 * 1000 * 1000; const long long m[D] = {MM + 7, MM + 9, MM + 21, MM + 33, 333333361LL}; char sl[nax]; long long preh[nax][D]; int n; long long potega[nax][D]; long long h(pair<int, int> a, int j) { long long x = preh[a.second][j]; if (a.first) x -= preh[a.first - 1][j]; if (x < 0) x += m[j]; x = (x * potega[n - a.first][j]) % m[j]; return x; } bool rowne(pair<int, int> a, pair<int, int> b) { for (int j = 0; j <= (D)-1; ++j) if (h(a, j) != h(b, j)) return false; return true; } int porow(pair<int, int> a, pair<int, int> b) { assert(a.second - a.first == b.second - b.first); if (a.first > a.second) return true; if (rowne(a, b)) return 1; int low = 0, high = a.second - a.first; while (low != high) { int med = (low + high) / 2; if (rowne(make_pair(a.first, a.first + med), make_pair(b.first, b.first + med))) low = med + 1; else high = med; } if (sl[a.first + low] == '(') return 0; return 2; } int pref[nax]; int LICZ; const int pot = 1024 * 1024; int tr[2 * pot]; int mi(int a, int b) { a += pot; b += pot; int ku = min(tr[a], tr[b]); while (a < b - 1) { ku = min(ku, tr[a + 1]); ku = min(ku, tr[b - 1]); a /= 2; b /= 2; } return ku; } bool ok_podzial_szybkie(int i) { int s1 = pref[i]; int s2 = LICZ - pref[i]; int k = 0; if (LICZ < 0) k = -LICZ; if (i + 1 <= n - 1 && k + mi(i + 1, n - 1) - s1 < 0) return false; if (0 <= i && k + s2 + mi(0, i) < 0) return false; return true; } bool ok_podzial(int i) { int teraz = 0; if (LICZ < 0) teraz = -LICZ; for (int j = i + 1; j <= n - 1; ++j) { if (sl[j] == '(') ++teraz; else --teraz; if (teraz < 0) return false; } for (int j = 0; j <= i; ++j) { if (sl[j] == '(') ++teraz; else --teraz; if (teraz < 0) return false; } return true; } int best = -1; bool jebaj(int i) { if (best == -1) return true; int kon = best + 1 + (n - 1 - (i + 1)); int pom = porow(make_pair(best + 1, kon), make_pair(i + 1, n - 1)); if (pom == 0) return false; if (pom == 2) return true; int kon2 = n - 1 - (kon + 1); pom = porow(make_pair(kon + 1, n - 1), make_pair(0, kon2)); if (pom == 0) return false; if (pom == 2) return true; pom = porow(make_pair(0, best), make_pair(kon2 + 1, i)); if (pom == 0) return false; return true; } int main(int argc, char *argv[]) { debug = argc > 1; scanf("%s", sl); n = strlen(sl); for (int i = 0; i <= (n)-1; ++i) { if (i) pref[i] = pref[i - 1]; if (sl[i] == '(') pref[i]++; else pref[i]--; } for (int i = 0; i <= (2 * pot) - 1; ++i) tr[i] = inf; for (int i = 0; i <= (n)-1; ++i) tr[pot + i] = pref[i]; for (int i = pot - 1; i >= 1; --i) tr[i] = min(tr[2 * i], tr[2 * i + 1]); LICZ = 0; for (int i = 0; i <= (n)-1; ++i) { if (sl[i] == '(') ++LICZ; else --LICZ; } for (int j = 0; j <= (D)-1; ++j) { potega[0][j] = 1; for (int i = 1; i <= n; ++i) potega[i][j] = ((j == 2 ? 3 : 2) * potega[i - 1][j]) % m[j]; } for (int j = 0; j <= (D)-1; ++j) for (int i = 0; i <= (n)-1; ++i) { int teraz = int(sl[i] == '('); preh[i][j] = ((i ? preh[i - 1][j] : 0LL) + teraz * potega[i][j]) % m[j]; } for (int i = 0; i <= (n)-1; ++i) if (ok_podzial_szybkie(i)) if (jebaj(i)) best = i; assert(best != -1); if (LICZ < 0) for (int _ = 0; _ <= (-LICZ) - 1; ++_) printf("("); for (int j = best + 1; j <= n - 1; ++j) printf("%c", sl[j]); for (int j = 0; j <= best; ++j) printf("%c", sl[j]); if (LICZ > 0) for (int _ = 0; _ <= (LICZ)-1; ++_) printf(")"); puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000005; char str[MAXN]; int N, A, B; int seq[MAXN]; int sum_pf[MAXN], sum_sf[MAXN]; int low_pf[MAXN], low_sf[MAXN]; bool elig[MAXN]; template <typename T = char> struct SuffixArray { int str[MAXN * 6], sa[MAXN * 6], rank[MAXN * 2], height[MAXN * 2], sz; int wa[MAXN * 2], wb[MAXN * 2], wv[MAXN * 2], ws[MAXN * 2]; int &operator[](int k) { return sa[k]; } int size() const { return sz; } bool eq(const int *r, int a, int b) const { return r[a] == r[b] && r[a + 1] == r[b + 1] && r[a + 2] == r[b + 2]; } bool cmp(const int *r, int a, int b, int d) const { if (d == 1) return (r[a] < r[b]) || (r[a] == r[b] && wv[a + 1] < wv[b + 1]); return (r[a] < r[b]) || (r[a] == r[b] && cmp(r, a + 1, b + 1, 1)); } void rsort(const int *r, const int *a, int *b, int n, int m) { int i; fill(ws, ws + m, 0); for (i = 0; i < n; ++i) ++ws[wv[i] = r[a[i]]]; for (i = 1; i < m; ++i) ws[i] += ws[i - 1]; for (i = n - 1; ~i; --i) b[--ws[wv[i]]] = a[i]; } void dc3(int *r, int *sa, int n, int m) { int i, j, k, *rn = r + n, *san = sa + n, tx = 0, ty = (n + 1) / 3, tz = 0; r[n] = r[n + 1] = 0; for (i = 0; i < n; ++i) { if (i % 3) wa[tz++] = i; } rsort(r + 2, wa, wb, tz, m); rsort(r + 1, wb, wa, tz, m); rsort(r, wa, wb, tz, m); for (rn[((wb[0]) / 3 + ((wb[0]) % 3 == 1 ? 0 : ty))] = 0, k = i = 1; i < tz; ++i) { rn[((wb[i]) / 3 + ((wb[i]) % 3 == 1 ? 0 : ty))] = eq(r, wb[i - 1], wb[i]) ? k - 1 : k++; } if (k < tz) dc3(rn, san, tz, k); else { for (i = 0; i < tz; ++i) san[rn[i]] = i; } for (i = 0; i < tz; ++i) { if (san[i] < ty) wb[tx++] = san[i] * 3; } if (n % 3 == 1) wb[tx++] = n - 1; rsort(r, wb, wa, tx, m); for (i = 0; i < tz; ++i) wv[wb[i] = ((san[i]) < ty ? (san[i]) * 3 + 1 : ((san[i]) - ty) * 3 + 2)] = i; for (i = j = k = 0; i < tx && j < tz; ++k) { sa[k] = cmp(r, wa[i], wb[j], wb[j] % 3) ? wa[i++] : wb[j++]; } for (; i < tx; ++i) sa[k++] = wa[i]; for (; j < tz; ++j) sa[k++] = wb[j]; } void build(const T *s, int n, int m = 128) { int i; for (i = 0; i < n; ++i) str[i] = (int)s[i]; str[n] = 0; sz = n + 1; dc3(str, sa, sz, m); } void calHeight() { int i, j, k = 0; for (i = 0; i < sz; ++i) rank[sa[i]] = i; for (i = 0; i < sz; height[rank[i++]] = k) { for (k ? --k : 0, j = sa[rank[i] - 1]; str[i + k] == str[j + k]; ++k) ; } } }; SuffixArray<> sa; char s[MAXN * 6]; int n; int main(int argc, char *argv[]) { scanf(" %s", str + 1); N = strlen(str + 1); for (int i = 1; i <= N; i++) { seq[i] = (str[i] == '(') ? 1 : -1; if (seq[i] > 0) A++; else B++; } int cur = 0; for (int i = 1; i <= N; i++) { sum_pf[i] = seq[i] + sum_pf[i - 1]; cur += seq[i]; low_pf[i] = min(low_pf[i - 1], cur); } cur = 0; for (int i = N; i >= 1; i--) { sum_sf[i] = -seq[i] + sum_sf[i + 1]; cur -= seq[i]; low_sf[i] = min(low_sf[i + 1], cur); } for (int i = 1; i <= N; i++) { low_sf[i] -= sum_sf[i]; } for (int i = 1; i < N; i++) { if (A >= B) { if (low_sf[i + 1] >= 0 && (-sum_sf[i + 1]) + low_pf[i] >= 0) { elig[i] = true; } else { elig[i] = false; } } else { if (B - A + low_sf[i + 1] >= 0 && B - A + (-sum_sf[i + 1]) + low_pf[i] >= 0) { elig[i] = true; } else { elig[i] = false; } } } if (low_pf[N] >= 0) elig[N] = true; n = 2 * N; for (int i = 1; i <= N; i++) { s[i - 1] = s[i - 1 + N] = (str[i] == '(') ? 'a' : 'b'; } s[n] = 0; sa.build(s, n); sa.calHeight(); int mir = 0x3f3f3f3f, miri = 0; for (int i = 1; i <= N; i++) { if (elig[i] && sa.rank[i] < mir) { mir = sa.rank[i]; miri = i; } } for (int i = 1; i <= B - A; i++) { putchar('('); } for (int i = miri + 1; i <= N; i++) { putchar(str[i]); } for (int i = 1; i <= miri; i++) { putchar(str[i]); } for (int i = 1; i <= A - B; i++) { putchar(')'); } puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; bool home = 1; signed realMain(); signed main() { home = 0; if (home) { freopen("tony_stark", "r", stdin); } else { ios::sync_with_stdio(0); cin.tie(0); } realMain(); } const int N = (int)1e6 + 7; string s; int n, f[N], c[N], ord[N]; struct T { int i; int c1; int c2; }; vector<T> so(vector<T> v) { int n = (int)v.size(); for (int i = 0; i <= n; i++) { f[i] = 0; } for (int i = 0; i < n; i++) { f[v[i].c2]++; } for (int i = 1; i <= n; i++) { f[i] += f[i - 1]; } vector<T> v2(n); for (int i = n - 1; i >= 0; i--) { v2[--f[v[i].c2]] = v[i]; } for (int i = 0; i <= n; i++) { f[i] = 0; } for (int i = 0; i < n; i++) { f[v2[i].c1]++; } for (int i = 1; i <= n; i++) { f[i] += f[i - 1]; } for (int i = n - 1; i >= 0; i--) { v[--f[v2[i].c1]] = v2[i]; } return v; } bool operator<(T a, T b) { if (a.c1 != b.c1) { return a.c1 < b.c1; } else { return a.c2 < b.c2; } } int baltotal, a[N], sum[N], pre[N], suf[N]; signed realMain() { cin >> s; n = (int)s.size(); int raz = -1; for (int i = 1; i <= n; i++) { if (s[i - 1] == '(') baltotal++; else baltotal--; a[i] = (s[i - 1] == '(') ? +1 : -1; sum[i] = sum[i - 1] + a[i]; } pre[1] = sum[1]; for (int i = 2; i <= n; i++) { pre[i] = min(pre[i - 1], sum[i]); } suf[n] = sum[n]; for (int i = n - 1; i >= 1; i--) { suf[i] = min(suf[i + 1], sum[i]); } for (int i = 0; i < n; i++) { c[i] = s[i]; f[c[i]]++; } for (int i = 1; i < N; i++) { f[i] += f[i - 1]; } for (int i = 0; i < n; i++) { ord[--f[c[i]]] = i; } map<int, int> trn; for (int i = 0; i < n; i++) { trn[c[i]] = 0; } int curtrn = 0; for (auto &it : trn) { it.second = curtrn++; } for (int i = 0; i < n; i++) { c[i] = trn[c[i]]; } for (int len = 1; len <= n; len *= 2) { vector<T> v; for (int i = 0; i < n; i++) { v.push_back({i, c[i], c[(i + len) % n]}); } v = so(v); for (int i = 0; i < n; i++) { ord[i] = v[i].i; } c[v[0].i] = 0; for (int i = 1; i < n; i++) { c[v[i].i] = c[v[i - 1].i] + (v[i - 1] < v[i]); } } for (int j = 0; j < n; j++) { bool ok = 1; int cur = max(0, -baltotal), init = cur; if (j + 1 <= n && cur + suf[j + 1] - sum[j] < 0) { ok = 0; } cur = init + sum[n] - sum[j]; if (j && cur + pre[j] < 0) { ok = 0; } if (!ok) { continue; } if (raz == -1 || c[j] < c[raz]) { raz = j; } } while (baltotal < 0) { cout << "("; baltotal++; } for (int i = 0; i < n; i++) { cout << s[(i + raz) % n]; } while (baltotal > 0) { cout << ")"; baltotal--; } cout << "\n"; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 2000010; int N, OOP[MAXN], OP[MAXN], FS[MAXN], FMN[MAXN], BS[MAXN], BMN[MAXN]; string B; int main() { ios_base::sync_with_stdio(0); cin.tie(NULL); cin >> B; N = ((int)B.size()); int open = 0, close = 0; for (int i = 0; i < N; i++) { if (B[i] == '(') { ++open; } else { ++close; } if (i > 0) { FS[i] = FS[i - 1]; } if (B[i] == '(') { ++FS[i]; } else { --FS[i]; } FMN[i] = FS[i]; if (i > 0) { FMN[i] = min(FMN[i - 1], FMN[i]); } } for (int i = N - 1; i >= 0; i--) { BS[i] = BS[i + 1]; BMN[i] = BMN[i + 1]; if (B[i] == '(') { ++BS[i]; ++BMN[i]; } else { --BS[i]; BMN[i] = min(BMN[i] - 1, -1); } } B += B; for (int i = ((int)B.size()) - 1; i >= 0; i--) { OP[i] = OP[i + 1]; if (B[i] == '(') { ++OP[i]; } else { OP[i] = 0; } } int rot = -1; for (int i = 0; i < N;) { int fsum = 0, fmin = 0; if (i > 0) { fsum = FS[i - 1]; fmin = FMN[i - 1]; } int bsum = BS[i]; int bmin = BMN[i]; if (open > close) { if (bsum + fmin < 0 || bmin < 0) { ++i; continue; } } else if (open < close) { if (bsum + close - open + fmin < 0 || bmin + close - open < 0) { ++i; continue; } } else { if (bsum + fmin < 0 || bmin < 0) { ++i; continue; } } if (rot == -1) { rot = i; ++i; continue; } if (OP[i] > OP[rot]) { rot = i; ++i; } else if (OP[i] == OP[rot]) { bool v = false; for (int j = 1; rot + j < i; j++) { if (OP[rot + j] < OP[i + j]) { rot = i; i += j; v = true; break; } else if (OP[rot + j] > OP[i + j]) { i += j; v = true; break; } } if (!v) { i += i - rot; } } else { ++i; } } if (open > close) { for (int i = rot; i < N; i++) { cout << B[i]; } for (int i = 0; i < rot; i++) { cout << B[i]; } for (int i = 0; i < open - close; i++) { cout << ')'; } } else if (open < close) { for (int i = 0; i < close - open; i++) { cout << '('; } for (int i = rot; i < N; i++) { cout << B[i]; } for (int i = 0; i < rot; i++) { cout << B[i]; } } else { for (int i = rot; i < N; i++) { cout << B[i]; } for (int i = 0; i < rot; i++) { cout << B[i]; } } cout << '\n'; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int L = 1000010; char ch[L + L] = {}; int len, l, m = 127; int u1[L + L] = {}, u2[L + L] = {}, *x = u1, *y = u2; int t[L + L] = {}, sa[L + L] = {}, ans[L + L] = {}, s[L + L] = {}; bool can[L + L] = {}; void init() { gets(ch + 1); len = strlen(ch + 1); for (int i = 1; i <= len; ++i) ch[len + i] = ch[i]; l = len << 1; ch[0] = ch[len]; } inline bool cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void work() { for (int i = 1; i <= l; ++i) ++t[x[i] = ch[i]]; for (int i = 1; i <= m; ++i) t[i] += t[i - 1]; for (int i = l; i >= 1; --i) sa[t[x[i]]--] = i; for (int j = 1, p = 0; j <= l && p != l; m = p, j *= 2, p = 0) { for (int i = l - j + 1; i <= l; ++i) y[++p] = i; for (int i = 1; i <= l; ++i) if (sa[i] > j) y[++p] = sa[i] - j; for (int i = 0; i <= m; ++i) t[i] = 0; for (int i = 1; i <= l; ++i) s[i] = x[y[i]]; for (int i = 1; i <= l; ++i) ++t[s[i]]; for (int i = 1; i <= m; ++i) t[i] += t[i - 1]; for (int i = l; i >= 1; --i) sa[t[s[i]]--] = y[i]; swap(x, y); x[sa[1]] = 1, p = 1; for (int i = 2; i <= l; ++i) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p : ++p; } } void get_ans() { int s1 = 0, s2 = 0; for (int i = 1; i <= len; ++i) ++(ch[i] == '(' ? s1 : s2); deque<int> q; for (int i = l; i > len; --i) { s[i] = s[i + 1] + (ch[i] == '(' ? 1 : -1); while (!q.empty() && s[i] > s[q.back()]) q.pop_back(); q.push_back(i); can[i] = false; } for (int i = len; i >= 1; --i) { s[i] = s[i + 1] + (ch[i] == '(' ? 1 : -1); can[i] = (max(s2 - s1, 0) + (s[i] - s[q.front()]) >= 0); while (!q.empty() && s[i] > s[q.back()]) q.pop_back(); q.push_back(i); while (!q.empty() && q.front() >= i + len) q.pop_front(); } int p = 1; for (int i = 1; i <= l; ++i) if (can[sa[i]]) { p = sa[i]; break; } while (s1 < s2) { ++s1; putchar('('); } for (int i = p; i <= p + len - 1; ++i) putchar(ch[i]); while (s1 > s2) { ++s2; putchar(')'); } putchar('\n'); } int main() { init(); work(); get_ans(); return 0; }
7
CPP
#include <bits/stdc++.h> const int INF = 1e9; const long long lINF = 1e18; const double EPS = 1e-12; using namespace std; const int N = 1e6 + 100; char s[N]; int p[N], c[N], last[N]; int pn[N], cn[N]; int n, balance[N], mnl[N], mnr[N]; int main() { scanf("%s", s); n = strlen(s); for (int i = 0; i < n; i++) { last[s[i] - 'a' + 1]++; } for (int i = 2; i <= 26; i++) { last[i] += last[i - 1]; } for (int i = 0; i < n; i++) { c[i] = last[s[i] - 'a']; } for (int i = 0; i < n; i++) { p[last[s[i] - 'a']++] = i; } for (int l = 1; l < n; l <<= 1) { for (int i = 0; i < n; i++) { last[i] = i; } for (int i = 0; i < n; i++) { pn[i] = p[i] - l; if (pn[i] < 0) { pn[i] += n; } } for (int i = 0; i < n; i++) { p[last[c[pn[i]]]++] = pn[i]; } cn[p[0]] = 0; int nlast = 0; for (int i = 1; i < n; i++) { int mid1 = (p[i] + l), mid2 = (p[i - 1] + l); if (mid1 >= n) { mid1 -= n; } if (mid2 >= n) { mid2 -= n; } if (c[p[i]] > c[p[i - 1]] || c[mid1] > c[mid2]) { nlast = i; } cn[p[i]] = nlast; } memcpy(c, cn, n * sizeof(n)); } mnl[0] = INF; for (int i = 0; i < n; i++) { if (s[i] == '(') { balance[i + 1] = balance[i] + 1; } else { balance[i + 1] = balance[i] - 1; } mnl[i + 1] = min(balance[i + 1], mnl[i]); } mnr[n - 1] = balance[n]; for (int i = n - 2; i >= 0; i--) { mnr[i] = min(mnr[i + 1], balance[i + 1]); } int ans = INF, ansi = 0, good = min(0, balance[n]); for (int i = 0; i < n; i++) { if (mnl[i] + balance[n] - balance[i] >= good && mnr[i] - balance[i] >= good) { if (ans > c[i]) { ans = c[i]; ansi = i; } } } for (int i = 0; i < -balance[n]; i++) { putchar('('); } for (int i = ansi; i < ansi + n; i++) { putchar(s[i % n]); } for (int i = 0; i < balance[n]; i++) { putchar(')'); } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int NMAX = 1e6; int n; char s[2 * NMAX + 5]; int sa[NMAX + 5]; int pos[2 * NMAX + 5]; int pref_sum[NMAX + 5]; int pref_min[NMAX + 5]; int suff_min[NMAX + 5]; int tmp[2 * NMAX + 5]; int gap; bool cmp(int a, int b) { if (pos[a] != pos[b]) { return pos[a] < pos[b]; } a += gap; b += gap; return pos[a] < pos[b]; } void build_sa() { sort(sa + 1, sa + 1 + n, [&](int a, int b) { return s[a] < s[b]; }); for (int i = 1; i <= n; i++) { pos[sa[i]] = pos[sa[i - 1]] + (s[sa[i - 1]] != s[sa[i]]); pos[sa[i] + n] = pos[sa[i]]; } for (gap = 1; gap <= n; gap *= 2) { sort(sa + 1, sa + 1 + n, cmp); tmp[sa[1]] = 1; for (int i = 2; i <= n; i++) { tmp[sa[i]] = tmp[sa[i - 1]] + cmp(sa[i - 1], sa[i]); tmp[sa[i] + n] = tmp[sa[i]]; } for (int i = 1; i <= 2 * n; i++) { pos[i] = tmp[i]; } } } int main() { fgets(s + 1, NMAX + 5, stdin); n = strlen(s + 1); n -= (s[n] == '\n'); for (int i = n + 1; i <= 2 * n; i++) { s[i] = s[i - n]; } for (int i = 1; i <= n; i++) { sa[i] = i; } for (int i = 1; i <= n; i++) { pref_sum[i] = (s[i] == '(' ? 1 : -1) + pref_sum[i - 1]; pref_min[i] = pref_sum[i]; if (i > 1) { pref_min[i] = min(pref_min[i - 1], pref_min[i]); } } for (int i = n; i; i--) { suff_min[i] = pref_sum[i]; if (i < n) { suff_min[i] = min(suff_min[i + 1], suff_min[i]); } } build_sa(); int cnt = pref_sum[n]; if (cnt > 0) { for (int i = 1; i <= n; i++) { if (suff_min[sa[i]] - pref_sum[sa[i] - 1] >= 0 && (pref_sum[n] - pref_sum[sa[i] - 1]) + pref_min[sa[i] - 1] >= 0) { for (int j = sa[i]; j <= n; j++) { fprintf(stdout, "%c", s[j]); } for (int j = 1; j < sa[i]; j++) { fprintf(stdout, "%c", s[j]); } for (int j = 1; j <= cnt; j++) { fprintf(stdout, ")"); } return 0; } } } else { for (int i = 1; i <= n; i++) { if (suff_min[sa[i]] - pref_sum[sa[i] - 1] >= cnt && (pref_sum[n] - pref_sum[sa[i] - 1]) + pref_min[sa[i] - 1] >= cnt) { for (int j = 1; j <= -cnt; j++) { fprintf(stdout, "("); } for (int j = sa[i]; j <= n; j++) { fprintf(stdout, "%c", s[j]); } for (int j = 1; j < sa[i]; j++) { fprintf(stdout, "%c", s[j]); } return 0; } } } return 0; }
7
CPP
#include <bits/stdc++.h> const int N = 1000100; char S[N << 1]; bool can[N]; void move(int &i, int n) { while (i < n && !can[i]) { i++; } } int min_present(int n) { int p1 = 0, p2 = 1, k = 0; move(p1, n); p2 += p1; move(p2, n); while (p1 < n && p2 < n && k < n) { int n1 = p1 + k; if (n1 >= n) n1 -= n; int n2 = p2 + k; if (n2 >= n) n2 -= n; if (S[n1] < S[n2]) p2 += k + 1, k = 0, move(p2, n); else if (S[n1] > S[n2]) p1 += k + 1, k = 0, move(p1, n); else k++; if (p1 == p2) p2++, move(p1, n); } return std::min(p1, p2); } int sum[N << 1], min[N << 1]; int Q[N << 1]; int main() { scanf("%s", S); int n = strlen(S); int l = 0; for (int i = 0; i < n; i++) if (S[i] == '(') { l++; sum[i] = sum[i + n] = 1; } else { l--; sum[i] = sum[i + n] = -1; } for (int i = 0; i < n; i++) S[i + n] = S[i]; for (int i = 1; i < n << 1; i++) sum[i] += sum[i - 1]; int front = 0, rear = 0; for (int i = 0; i < n * 2; i++) { while (front < rear && Q[front] + n - 1 < i) { front++; } while (front < rear && sum[Q[rear - 1]] >= sum[i]) { --rear; } Q[rear++] = i; min[i - n + 1] = sum[Q[front]]; } for (int i = 0; i < n; i++) { if (i) min[i] -= sum[i - 1]; if (min[i] < 0 && min[i] - l < 0) continue; can[i] = true; } int res = min_present(n); if (l < 0) for (int i = 0; i < -l; i++) putchar('('); for (int i = res; i < res + n; i++) putchar(S[i]); if (l > 0) for (int i = 0; i < l; i++) putchar(')'); puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; class SA_IS { vector<int> compress(vector<int>& v) { set<int> alph(v.begin(), v.end()); vector<int> dic(alph.begin(), alph.end()); vector<int> bucket_size(dic.size(), 0); for (int i = 0; i < v.size(); i++) { v[i] = lower_bound(dic.begin(), dic.end(), v[i]) - dic.begin(); bucket_size[v[i]]++; } return bucket_size; } class bucket_set { vector<int> container; vector<vector<int>::iterator> bucket; vector<int> front; vector<int> back; vector<bool> fixed; vector<vector<bool>::iterator> bucket_fixed; vector<bool> used; const vector<int>& str; const vector<int>& bucket_size; const vector<int>& LS; void put_L() { for (int i = 0; i < bucket_size.size(); i++) { for (int j = 0; j < bucket_size[i]; j++) { if (bucket[i][j] - 1 < 0) continue; if (LS[bucket[i][j] - 1] == L) { if (used[bucket[i][j] - 1]) continue; used[bucket[i][j] - 1] = true; int c = str[bucket[i][j] - 1]; bucket[c][front[c]] = bucket[i][j] - 1; bucket_fixed[c][front[c]] = true; front[c]++; } } back[i] = bucket_size[i] - 1; } } void put_S() { for (int i = bucket_size.size() - 1; i >= 0; i--) { for (int j = bucket_size[i] - 1; j >= 0; j--) { if (bucket[i][j] - 1 < 0) continue; if (LS[bucket[i][j] - 1] == S) { if (used[bucket[i][j] - 1]) continue; used[bucket[i][j] - 1] = true; int c = str[bucket[i][j] - 1]; bucket[c][back[c]] = bucket[i][j] - 1; bucket_fixed[c][back[c]] = true; back[c]--; } } } } void init() { int sum = 0; for (int i = 0; i < bucket_size.size(); i++) { bucket[i] = container.begin() + sum; bucket_fixed[i] = fixed.begin() + sum; front[i] = 0; back[i] = bucket_size[i] - 1; sum += bucket_size[i]; } } public: bucket_set(const vector<int>& str_, const vector<int>& bucket_size_, const vector<int>& LS_) : container(str_.size(), -1), bucket(bucket_size_.size()), front(bucket_size_.size()), back(bucket_size_.size()), fixed(str_.size(), false), bucket_fixed(bucket_size_.size()), used(str_.size(), false), str(str_), bucket_size(bucket_size_), LS(LS_) { init(); } void put_initial_LMS(const vector<int>& LMS_pos) { for (int i = 0; i < LMS_pos.size() - 1; i++) { int c = str[LMS_pos[i]]; bucket[c][back[c]] = LMS_pos[i]; back[c]--; } } void put_ordered_LMS(const vector<int>& LMS_pos) { for (int i = LMS_pos.size() - 2; i >= 0; i--) { int c = str[LMS_pos[i]]; bucket[c][back[c]] = LMS_pos[i]; back[c]--; } } void put() { put_L(); for (int i = 0; i < str.size(); i++) if (fixed[i] == false) container[i] = -1; put_S(); container[0] = str.size() - 1; } vector<int> get_LMS_substring_order(const vector<int>& LMS) { vector<int> ret; for (int i = 0; i < str.size(); i++) { if (LS[container[i]] != S) continue; if (container[i] > 0 && LS[container[i] - 1] == L) ret.push_back(container[i]); } return ret; } vector<int> get_result() { return container; } }; struct substring { int pos; int size; vector<int>::iterator str; vector<int>::iterator ls; substring() {} substring(const int pos, const int size, const vector<int>::iterator& str, const vector<int>::iterator& ls) { this->pos = pos; this->size = size; this->str = str; this->ls = ls; } bool operator==(const substring& x) const { for (int i = 0; i < min(this->size, x.size); i++) { if (this->str[i] != x.str[i]) { return false; } else if (this->ls[i] != x.ls[i]) { return false; } } return this->size == x.size; } }; public: static const int L = 0; static const int S = 1; string my_s; vector<int> sa; vector<int> lcp; vector<int> rec(vector<int>& v) { v.push_back(-1); vector<int> bucket_size = compress(v); vector<int> LS(v.size()); LS.back() = S; for (int i = v.size() - 2; i >= 0; i--) { if (v[i] < v[i + 1]) LS[i] = S; else if (v[i] > v[i + 1]) LS[i] = L; else LS[i] = LS[i + 1]; } bucket_set my_bucket(v, bucket_size, LS); vector<int> LMS; for (int i = 1; i < v.size(); i++) { if (LS[i] != S) continue; if (LS[i - 1] == L) LMS.push_back(i); } LMS.push_back(v.size() - 1); vector<int> LMS_substring_order(v.size(), -1); vector<int> LMS_substring_end(v.size(), -1); for (int i = 0; i < LMS.size() - 1; i++) { LMS_substring_order[LMS[i]] = i; LMS_substring_end[LMS[i]] = LMS[i + 1]; } if (LMS.size() > 1) { bucket_set LMS_bucket(v, bucket_size, LS); LMS_bucket.put_initial_LMS(LMS); LMS_bucket.put(); vector<int> LMS_order = LMS_bucket.get_LMS_substring_order(LMS); vector<int> LMS_order_cnt(LMS_order.size()); int cnt = 0; LMS_order_cnt[0] = 0; cnt++; for (int i = 1; i < LMS_order.size(); i++, cnt++) { substring a(LMS_order[i], LMS_substring_end[LMS_order[i]] - LMS_order[i] + 1, v.begin() + LMS_order[i], LS.begin() + LMS_order[i]); substring b(LMS_order[i - 1], LMS_substring_end[LMS_order[i - 1]] - LMS_order[i - 1] + 1, v.begin() + LMS_order[i - 1], LS.begin() + LMS_order[i - 1]); if (a == b) cnt--; LMS_order_cnt[i] = cnt; } vector<int> tmp(LMS_order.size()); for (int i = 0; i < LMS_order.size(); i++) { tmp[LMS_substring_order[LMS_order[i]]] = LMS_order_cnt[i]; } swap(tmp, LMS_order); if (cnt != LMS_order.size()) { vector<int> new_order = rec(LMS_order); LMS_order = vector<int>(new_order.begin() + 1, new_order.end()); } tmp = LMS; for (int i = 0; i < LMS.size() - 1; i++) { tmp[i] = LMS[LMS_order[i]]; } swap(tmp, LMS); my_bucket.put_ordered_LMS(LMS); } my_bucket.put(); return my_bucket.get_result(); } vector<int> rec(string& s) { vector<int> v(s.begin(), s.end()); return rec(v); } void constract_lcp() { int n = my_s.size(); lcp.resize(n + 1); vector<int> rank(n + 1); for (int i = 0; i <= n; i++) rank[sa[i]] = i; int h = 0; lcp[0] = 0; for (int i = 0; i < n; i++) { int j = sa[rank[i] - 1]; if (h > 0) h--; for (; j + h < n && i + h < n; h++) { if (my_s[j + h] != my_s[i + h]) break; } lcp[rank[i] - 1] = h; } } SA_IS(string s) { my_s = s; sa = rec(s); } void dbg_print() { for (int i = 0; i <= my_s.size(); i++) { string p(my_s.begin() + sa[i], my_s.end()); cerr << p << " " << sa[i] << endl; } } }; class SegmentTreeMIN { int n; vector<int> T; int INF; public: SegmentTreeMIN(int size) { INF = 1 << 29; n = 1; while (n < size) n <<= 1; T.resize(2 * n - 1); fill(T.begin(), T.end(), INF); } void update(int k, int val) { k += n - 1; T[k] = val; while (k > 0) { k = (k - 1) / 2; T[k] = min(T[k * 2 + 1], T[k * 2 + 2]); } } int RMQ(int a, int b, int k, int l, int r) { if (r <= a || b <= l) return INF; if (a <= l && r <= b) return T[k]; else { int val_left = RMQ(a, b, k * 2 + 1, l, (l + r) / 2); int val_right = RMQ(a, b, k * 2 + 2, (l + r) / 2, r); return min(val_left, val_right); } } int size() { return n; } }; int main() { string s; cin >> s; int n = s.size(); s += s; SA_IS sa(s); vector<int> arr(2 * n); for (int i = 0; i < 2 * n; i++) { if (s[i] == '(') { arr[i] = 1; } else { arr[i] = -1; } if (i > 0) arr[i] += arr[i - 1]; } SegmentTreeMIN seg(2 * n); for (int i = 0; i < 2 * n; i++) { seg.update(i, arr[i]); } int index = -1; int len = 1 << 30; int xx = 0; int yy = 0; for (int i = 0; i < 2 * n; i++) { if (sa.sa[i] > n) continue; int x = min(0, seg.RMQ(sa.sa[i], sa.sa[i] + n, 0, 0, seg.size()) - (sa.sa[i] > 0 ? arr[sa.sa[i] - 1] : 0)); int y = max(0, arr[sa.sa[i] + n - 1] - (sa.sa[i] > 0 ? arr[sa.sa[i] - 1] : 0) + abs(x)); if (len > abs(x) + abs(y) + n) { index = i; len = abs(x) + abs(y) + n; xx = abs(x); yy = abs(y); } } string ans; for (int j = 0; j < xx; j++) { printf("("); } cout << s.substr(sa.sa[index], n); for (int j = 0; j < yy; j++) { printf(")"); } printf("\n"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; struct num { static const int MA = (int)1e9 + 7, MB = (int)1e9 + 9; int a, b; num() {} num(int x) : a(x), b(x) {} num(int _a, int _b) : a(_a), b(_b) {} num operator+(const num &x) const { return num((a + x.a) % MA, (b + x.b) % MB); } num operator-(const num &x) const { return num((a + MA - x.a) % MA, (b + MB - x.b) % MB); } num operator*(const num &x) const { return num(((long long)a * x.a) % MA, ((long long)b * x.b) % MB); } bool operator==(const num &x) const { return a == x.a && b == x.b; } explicit operator long long() const { return (long long)a * MB + b + 1; } }; struct StrComparator { static const num P; static vector<num> deg; int n; const char *s; num *h; StrComparator(int n, const char *s) : n(n), s(s) { h = new num[n + 1]; h[0] = 0; for (int i = 0; i < (int)(n); i++) h[i + 1] = h[i] * P + s[i]; deg.reserve(n); while ((int)(deg).size() <= n) deg.push_back(*deg.rbegin() * P); } num substr(int i, int len) const { return h[i + len] - h[i] * deg[len]; } int lcp(int i, int j) { int L = 0, R = n - max(i, j); while (L < R) { int M = (L + R + 1) / 2; if (substr(i, M) == substr(j, M)) L = M; else R = M - 1; } return L; } int cmp(int a, int b) { int LEN = n - max(a, b), L = lcp(a, b); return L < LEN ? (int)s[a + L] - s[b + L] : b - a; } bool operator()(int i, int j) { return cmp(i, j) < 0; } }; const num StrComparator::P = num(239017, 17239); vector<num> StrComparator::deg(1, 1); template <const int maxN> struct RMQ { int qst, qen, q[maxN], ind[maxN]; void pop(int i) { if (ind[qst] == i) qst++; } void push(int i, int f) { while (qst < qen && q[qen - 1] >= f) qen--; q[qen] = f, ind[qen++] = i; } int get_min() { return q[qst]; } }; const int N = 1e6; int n, b[2 * N + 1]; char s[2 * N]; RMQ<2 * N> rmq; int main() { gets(s), n = strlen(s); memcpy(s + n, s, n); for (int i = 0; i < (int)(2 * n); i++) b[i + 1] = b[i] + (s[i] == '(' ? 1 : -1); StrComparator h(2 * n, s); int ind = -1; for (int i = 0; i < (int)(n); i++) rmq.push(i, b[i]); for (int i = 0; i < (int)(n); i++) { rmq.push(i + n, b[i + n]); int mi = rmq.get_min() - b[i]; int diff = b[n + i] - b[i]; rmq.pop(i); bool good = (diff - 2 * mi == abs(b[n])); if (good && (ind == -1 || h.cmp(i, ind) < 0)) ind = i; } assert(ind != -1); if (b[n] < 0) { for (int i = 0; i < (int)(-b[n]); i++) putchar('('); for (int i = 0; i < (int)(n); i++) putchar(s[ind + i]); } else { for (int i = 0; i < (int)(n); i++) putchar(s[ind + i]); for (int i = 0; i < (int)(b[n]); i++) putchar(')'); } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2e6 + 6; char s[N]; int p1[N]; int p2[N]; int s1[N]; int s2[N]; long long X1 = 277, X2 = 2887; long long M1 = 1444444447, M2 = 1777777777; long long x1[N], x2[N]; struct hasher { vector<long long> h1, h2; hasher() {} string s; hasher(char *str) { s = str; int n = s.length(); h1.assign(n + 1, 0); h2.assign(n + 1, 0); for (int i = n - 1; i >= 0; --i) { h1[i] = (h1[i + 1] * X1 + s[i]) % M1; h2[i] = (h2[i + 1] * X2 + s[i]) % M2; } } long long get(int l, int r) { return ((h1[l] - h1[r + 1] * x1[r - l + 1] % M1 + M1) % M1) << 32 | ((h2[l] - h2[r + 1] * x2[r - l + 1] % M2 + M2) % M2); } }; int cmp(hasher &s1, int i1, int j1, hasher &s2, int i2, int j2) { int l = 0, r = min(j1 - i1 + 1, j2 - i2 + 1) + 1; while (l < r) { int m = (l + r) >> 1; if (s1.get(i1, i1 + m - 1) == s2.get(i2, i2 + m - 1)) l = m + 1; else r = m; } --l; if (i1 + l > j1 && i2 + l > j2) return 0; if (i1 + l > j1) return -1; if (i2 + l > j2) return 1; return s1.s[i1 + l] < s2.s[i2 + l] ? -1 : 1; } hasher h, ho, hz; int n; void calc(int i, int &il, int &ir) { int op = p2[i]; int zp = i - p1[i] - op; int zs = s2[i + 1]; int os = n - i - s1[i + 1] - zs; il = zs; ir = op; if (os > zp) ir += os - zp; else il += zp - os; } bool cmp(int i, int j, int len, int k) { int il, ir, jl, jr; calc(i, il, ir); calc(j, jl, jr); int im = len - il - ir; int jm = len - jl - jr; if (k < il) { if (k < jl) { return cmp(i, j, len, min(il, jl)); } else if (k < jl + jm) { int d = min(il - k, jl + jm - k); int dif = cmp(ho, 0, d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else { return true; } } else if (k < il + im) { if (k < jl) { int d = min(jl - k, il + im - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, ho, 0, d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else if (k < jl + jm) { int d = min(il + im - k, jl + jm - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else { int d = min(il + im - k, len - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, hz, 0, d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } } else if (k < len) { if (k < jl) { return false; } else if (k < jl + jm) { int d = min(len - k, jl + jm - k); int dif = cmp(hz, 0, d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; return cmp(i, j, len, k + d); } else { return cmp(i, j, len, len); } } else return false; } char e[N]; string ans; string func(string &s) { string res; int m = 0; for (int i = 0; i < s.length(); ++i) if (s[i] == '(') { ++m; } else { if (!m) res += "("; else --m; } res += s; while (m--) res += ")"; return res; } int main() { for (int i = x1[0] = 1; i < N; ++i) x1[i] = x1[i - 1] * X1 % M1; for (int i = x2[0] = 1; i < N; ++i) x2[i] = x2[i - 1] * X2 % M2; gets(s + 1); n = strlen(s + 1); for (int i = 1; i <= n; ++i) s[i + n] = s[i]; for (int i = n; i; --i) { if (s[i] == '(') { if (s2[i + 1]) { s1[i] = s1[i + 1] + 2; s2[i] = s2[i + 1] - 1; } else { s1[i] = s1[i + 1]; s2[i] = s2[i + 1]; } } else { s1[i] = s1[i + 1]; s2[i] = s2[i + 1] + 1; } } for (int i = 1; i <= n; ++i) { if (s[i] == ')') { if (p2[i - 1]) { p1[i] = p1[i - 1] + 2; p2[i] = p2[i - 1] - 1; } else { p1[i] = p1[i - 1]; p2[i] = p2[i - 1]; } } else { p1[i] = p1[i - 1]; p2[i] = p2[i - 1] + 1; } } int x = n * 10; vector<int> pos; for (int i = 0; i < n; ++i) { int op = p2[i]; int zp = i - p1[i] - op; int zs = s2[i + 1]; int os = n - i - s1[i + 1] - zs; int len = zs + op + max(os, zp) - min(os, zp) + n; if (x > len) { pos.clear(); x = len; } if (x == len) { pos.push_back(i); } int sl, sr; calc(i, sl, sr); } h = hasher(s + 1); for (int i = 0; i < n * 2; ++i) e[i] = '('; ho = hasher(e); for (int i = 0; i < n * 2; ++i) e[i] = ')'; hz = hasher(e); int res = pos[0]; for (int k = 1; k < pos.size(); ++k) if (cmp(pos[k], res, x, 0)) res = pos[k]; int sl, sr; calc(res, sl, sr); for (int i = 0; i < sl; ++i) printf("("); for (int i = 0; i < x - sl - sr; ++i) printf("%c", s[res + i + 1]); for (int i = 0; i < sr; ++i) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; template <typename T> T BigMod(T b, T p, T m) { if (p == 0) return 1; if (p % 2 == 0) { T s = BigMod(b, p / 2, m); return ((s % m) * (s % m)) % m; } return ((b % m) * (BigMod(b, p - 1, m) % m)) % m; } template <typename T> T ModInv(T b, T m) { return BigMod(b, m - 2, m); } template <typename T> T in() { char ch; T n = 0; bool ng = false; while (1) { ch = getchar(); if (ch == '-') { ng = true; ch = getchar(); break; } if (ch >= '0' && ch <= '9') break; } while (1) { n = n * 10 + (ch - '0'); ch = getchar(); if (ch < '0' || ch > '9') break; } return (ng ? -n : n); } template <typename T> T POW(T B, T printf) { if (printf == 0) return 1; if (printf & 1) return B * POW(B, printf - 1); else return (POW(B, printf / 2) * POW(B, printf / 2)); } template <typename T> T Bigmod(T b, T p, T m) { if (p == 0) return 1; else if (!(p & 1)) return (Bigmod(b, p / 2, m) * Bigmod(b, p / 2, m)) % m; else return ((b % m) * Bigmod(b, p - 1, m)) % m; } template <typename T> T Dis(T x1, T y1, T x2, T y2) { return sqrt((x1 - x2 * x1 - x2) + (y1 - y2 * y1 - y2)); } template <typename T> T Angle(T x1, T y1, T x2, T y2) { return atan(double(y1 - y2) / double(x1 - x2)); } template <typename T> T DIFF(T a, T b) { T d = a - b; if (d < 0) return -d; else return d; } template <typename T> T ABS(T a) { if (a < 0) return -a; else return a; } template <typename T> T gcd(T a, T b) { if (a < 0) return gcd(-a, b); if (b < 0) return gcd(a, -b); return (b == 0) ? a : gcd(b, a % b); } template <typename T> T lcm(T a, T b) { if (a < 0) return lcm(-a, b); if (b < 0) return lcm(a, -b); return a * (b / gcd(a, b)); } template <typename T> T euclide(T a, T b, T &x, T &y) { if (a < 0) { T d = euclide(-a, b, x, y); x = -x; return d; } if (b < 0) { T d = euclide(a, -b, x, y); y = -y; return d; } if (b == 0) { x = 1; y = 0; return a; } else { T d = euclide(b, a % b, x, y); T t = x; x = y; y = t - (a / b) * y; return d; } } template <typename T> void ia(T a[], int n) { for (int i = 0; i < n; i++) cin >> a[i]; } template <typename T> void pa(T a[], int n) { for (int i = 0; i < n - 1; i++) cout << a[i] << " "; cout << a[n - 1] << endl; } template <typename T> long long int isLeft(T a, T b, T c) { return (a.x - b.x) * (b.y - c.y) - (b.x - c.x) * (a.y - b.y); } int Set(int N, int pos) { return N = N | (1 << pos); } int Reset(int N, int pos) { return N = N & ~(1 << pos); } bool Check(int N, int pos) { return (bool)(N & (1 << pos)); } template <class T, class first> inline T togglebit(T a, first i) { T t = 1; return (a ^ (t << i)); } int toInt(string s) { int sm; stringstream ss(s); ss >> sm; return sm; } int toLlint(string s) { long long int sm; stringstream ss(s); ss >> sm; return sm; } int cdigittoint(char ch) { return ch - '0'; } bool isVowel(char ch) { ch = toupper(ch); if (ch == 'A' || ch == 'U' || ch == 'I' || ch == 'O' || ch == 'E') return true; return false; } bool isConst(char ch) { if (isalpha(ch) && !isVowel(ch)) return true; return false; } double DEG(double x) { return (180.0 * x) / (2.0 * acos(0.0)); } double RAD(double x) { return (x * (double)2.0 * acos(0.0)) / (180.0); } char s[2097157]; int a[2097157]; int Tree[3 * 2097157][2]; int New[2097157][2]; int DP[3 * 2097157], l; const int N = int(2e6) + 10; int cmp(int *r, int a, int b, int l) { return (r[a] == r[b]) && (r[a + l] == r[b + l]); } int wa[N], wb[N], wws[N], wv[N]; int rnk[N], height[N]; void DA(int *r, int *sa, int n, int m) { int i, j, p, *x = wa, *y = wb, *t; for (i = 0; i < m; i++) wws[i] = 0; for (i = 0; i < n; i++) wws[x[i] = r[i]]++; for (i = 1; i < m; i++) wws[i] += wws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--wws[x[i]]] = i; for (j = 1, p = 1; p < n; j *= 2, m = p) { for (p = 0, i = n - j; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < n; i++) wv[i] = x[y[i]]; for (i = 0; i < m; i++) wws[i] = 0; for (i = 0; i < n; i++) wws[wv[i]]++; for (i = 1; i < m; i++) wws[i] += wws[i - 1]; for (i = n - 1; i >= 0; i--) sa[--wws[wv[i]]] = y[i]; for (t = x, x = y, y = t, p = 1, x[sa[0]] = 0, i = 1; i < n; i++) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } void calheight(int *r, int *sa, int n) { int i, j, k = 0; for (i = 1; i <= n; i++) rnk[sa[i]] = i; for (i = 0; i < n; height[rnk[i++]] = k) for (k ? k-- : 0, j = sa[rnk[i] - 1]; i + k < n && j + k < n && r[i + k] == r[j + k]; k++) ; } int sa[N], data[N], n, p, q; void Level(int n) { for (int i = 0;; i++) if (1 << i >= n) { l = i; return; } } void Build(int n) { for (int i = 1; i <= n; i++) { Tree[i + ((1 << l) - 1)][s[i - 1] - 'a'] = 1; DP[i + ((1 << l) - 1)] = height[i]; } for (int idx = ((1 << l) - 1); idx; idx--) { int mn = min(Tree[(idx << 1)][0], Tree[((idx << 1) | 1)][1]); Tree[idx][0] = Tree[(idx << 1)][0] + Tree[((idx << 1) | 1)][0] - mn; Tree[idx][1] = Tree[(idx << 1)][1] + Tree[((idx << 1) | 1)][1] - mn; DP[idx] = min(DP[(idx << 1)], DP[((idx << 1) | 1)]); } } void QueryBalance(int a, int b) { int id = a; a += ((1 << l) - 1) + 1; b += ((1 << l) - 1) + 1; int L[30], R[30], p = 0, q = 0; while (a <= b) { if (a % 2 == 1) L[++p] = a; if (b % 2 == 0) R[++q] = b; a = (a + 1) >> 1; b = (b - 1) >> 1; } for (int i = 1; i <= p; i++) { int mn = min(New[id][0], Tree[L[i]][1]); New[id][0] = New[id][0] + Tree[L[i]][0] - mn; New[id][1] = New[id][1] + Tree[L[i]][1] - mn; } for (int i = q; i; i--) { int mn = min(New[id][0], Tree[R[i]][1]); New[id][0] = New[id][0] + Tree[R[i]][0] - mn; New[id][1] = New[id][1] + Tree[R[i]][1] - mn; } swap(New[id][0], New[id][1]); } int QueryMin(int a, int b) { if (a == b) return 1000000007; a = rnk[a]; b = rnk[b]; if (a > b) swap(a, b); a += ((1 << l) - 1) + 1; b += ((1 << l) - 1); int mn = 1000000007; while (a <= b) { if (a % 2 == 1) mn = min(mn, DP[a]); if (b % 2 == 0) mn = min(mn, DP[b]); a = (a + 1) >> 1; b = (b - 1) >> 1; } return mn; } int main() { int l = 0; while (1) { char x = getchar(); if (x != '(' && x != ')') { s[l + 1] = 0; break; } if (x == '(') s[l++] = 'a'; else s[l++] = 'b'; data[l - 1] = s[l - 1]; } for (int i = 0; i < l; i++) data[i + l] = s[i + l] = s[i]; s[l + l + 1] = 0; DA(data, sa, l + l + 1, 128); calheight(data, sa, l + l); Level(l + l); Build(l + l); for (int i = l + l - 1; i >= 0; i--) if (s[i] == 'a') a[i] += a[i + 1] + 1; int newAdd = (1 << 30) - 1 + (1 << 30); int id; for (int i = 1; i <= l; i++) { QueryBalance(i, i + l - 1); if (New[i][0] && New[i][1] && New[i][0] == New[i][1]) continue; if (New[i][0] + New[i][1] < newAdd) { newAdd = New[i][0] + New[i][1]; id = i; } else if (New[i][0] + New[i][1] == newAdd) { int open1 = New[id][0] + min(a[id], l); int open2 = New[i][0] + min(a[i], l); if (open1 < open2) id = i; else if (open1 == open2) { int x = id + a[id]; int y = i + a[i]; int q = QueryMin(x, y) + a[i]; if (q >= l) { if (New[id][1] > New[i][1]) { id = i; } } else { x = rnk[id]; y = rnk[i]; if (x > y) id = i; } } } } for (int i = 0; i < New[id][0]; i++) putchar('('); for (int i = id; i < id + l; i++) if (s[i] == 'a') putchar('('); else putchar(')'); for (int i = 0; i < New[id][1]; i++) putchar(')'); printf("\n"); ; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 6000005; int s[maxn]; int sa[maxn], t1[maxn], t2[maxn], c[maxn], n; int sum[maxn]; int low[maxn]; int deq[maxn]; void build_sa(int *s, int n, int m) { int i, k, p, a1, a2, *x = t1, *y = t2; memset(c, 0, m << 2); for (i = 0; i < n; ++i) ++c[x[i] = s[i]]; for (i = 1; i < m; ++i) c[i] += c[i - 1]; for (i = n - 1; i >= 0; --i) sa[--c[x[i]]] = i; for (k = 1; k < n; k <<= 1) { p = 0; for (i = 0; i < n; ++i) y[p++] = (sa[i] + n - k) % n; memset(c, 0, m << 2); for (i = 0; i < n; ++i) ++c[x[y[i]]]; for (i = 1; i < m; ++i) c[i] += c[i - 1]; for (i = n - 1; i >= 0; --i) sa[--c[x[y[i]]]] = y[i]; swap(x, y), p = 1, x[sa[0]] = 0; for (i = 1; i < n; ++i) { a1 = y[(sa[i - 1] + k) % n]; a2 = y[(sa[i] + k) % n]; x[sa[i]] = (a1 == a2 && y[sa[i - 1]] == y[sa[i]]) ? p - 1 : p++; } if (p >= n) break; m = p; } } char res[maxn], tot; int main() { char c; while (c = getchar(), ~c && c != '\n') s[n++] = (c == '(' ? 1 : 2); for (int i = n; i < n + n; i++) s[i] = s[i - n]; int m = n; build_sa(s, m, 3); n <<= 1; sum[0] = (s[0] == 1 ? 1 : -1); for (int i = 1; i < n; i++) sum[i] = sum[i - 1] + (s[i] == 1 ? 1 : -1); int pos = 0; int st = 0, ed = 0; for (int i = 0; i < n; i++) { while (st < ed && deq[st] <= i - m) st++; while (st < ed && sum[i] <= sum[deq[ed - 1]]) ed--; deq[ed++] = i; if (i >= m - 1) low[i - m - 1] = sum[deq[st]]; } if (sum[m - 1] >= 0) { for (int i = 0; i < m; i++) { if (sa[i] >= m) continue; if (sa[i] && low[sa[i]] - sum[sa[i] - 1] >= 0) { pos = sa[i]; break; } if (!sa[i] && low[sa[i]] >= 0) { pos = sa[i]; break; } } } else { for (int i = 0; i < m; i++) { if (sa[i] >= m) continue; if (sa[i] && low[sa[i]] - sum[sa[i] - 1] - sum[m - 1] >= 0) { pos = sa[i]; break; } if (!sa[i] && low[sa[i]] - sum[m - 1] >= 0) { pos = sa[i]; break; } } } if (sum[m - 1] < 0) { for (int i = 0; i < -sum[m - 1]; i++) putchar('('); } for (int i = 0; i < m; i++) { if (s[pos + i] == 1) putchar('('); else putchar(')'); } if (sum[m - 1] > 0) { for (int i = 0; i < sum[m - 1]; i++) putchar(')'); } puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; long long powmod(long long a, long long b) { long long res = 1; a %= 1000000007; for (; b; b >>= 1) { if (b & 1) res = res * a % 1000000007; a = a * a % 1000000007; } return res; } long long gcd(long long x, long long y) { while (y) { long long t = x % y; x = y; y = t; } return x; } long long inv(long long x) { return powmod(x, 1000000007 - 2); } template <typename T> inline bool chkmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; } template <typename T> inline bool chkmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; } 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; } int wa[4001000], wb[4001000], wx[4001000], wv[4001000]; int cmp(int *r, int a, int b, int l) { return r[a + l] == r[b + l] && r[a] == r[b]; } void da(char *r, int *sa, int n, int m) { int *x = wa, *y = wb, *t; int i, j, k, p; for (i = 0; i < m; ++i) wx[i] = 0; for (i = 0; i < n; ++i) ++wx[x[i] = r[i]]; for (i = 1; i < m; ++i) wx[i] += wx[i - 1]; for (i = n - 1; i >= 0; --i) sa[--wx[x[i]]] = i; for (j = 1, p = 1; p < n; j *= 2, m = p) { for (p = 0, i = n - j; i < n; ++i) y[p++] = i; for (i = 0; i < n; ++i) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < n; ++i) wv[i] = x[y[i]]; for (i = 0; i < m; ++i) wx[i] = 0; for (i = 0; i < n; ++i) ++wx[wv[i]]; for (i = 1; i < m; ++i) wx[i] += wx[i - 1]; for (i = n - 1; i >= 0; --i) sa[--wx[wv[i]]] = y[i]; for (t = x, x = y, y = t, p = 1, x[sa[0]] = 0, i = 1; i < n; ++i) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } int Rank[4001000], sa[4001000], height[4001000]; void calheight(char *r, int n) { int i, j, k = 0; for (i = 0; i <= n; ++i) Rank[sa[i]] = i; for (i = 0; i < n; height[Rank[i++]] = k) for (k ? k-- : 0, j = sa[Rank[i] - 1]; r[i + k] == r[j + k]; k++) ; } char s[4001000]; char ans[4001000]; bool can[4001000]; void fckn(int x, int n) { deque<pair<int, int> > q; int tag = 0, cnt = 0; for (int i = 0; i < n; i++) { if (s[i] == 0) cnt++; else cnt--; while (q.size() && q.back().second >= cnt) q.pop_back(); q.push_back(make_pair(i, cnt)); } for (int i = 0; i < n; i++) { while (q.size() && q.front().first < i) { q.pop_front(); } if (q.front().second - tag >= x) can[i] = true; if (s[i] == 0) tag++; else tag--; while (q.size() && q.back().second >= cnt + tag) q.pop_back(); q.push_back(make_pair(i + n, cnt + tag)); } } int main() { scanf("%s", s); int n = strlen(s); int cnt = 0; for (int i = 0; i < n; i++) { if (s[i] == '(') cnt++, s[i] = 0; else cnt--, s[i] = 1; s[i + n] = s[i]; } fckn(min(0, cnt), n); s[2 * n] = 2; da(s, sa, 2 * n + 1, 3); int i = 0, top = 0; for (; sa[i] >= n || !can[sa[i]]; i++) ; i = sa[i]; while (cnt < 0) { ans[top++] = '('; cnt++; } for (int j = 0; j < n; j++) ans[top++] = s[i + j] == 0 ? '(' : ')'; while (cnt > 0) { ans[top++] = ')'; cnt--; } ans[top++] = '\0'; puts(ans); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2000050; const int M = 2 * N; int tot; char s[M]; int id[M], sa[M]; pair<pair<int, int>, int> tmp[M]; void BuildSuffixArray() { s[++tot] = '(' + 2; int i, j; for (i = 1; i <= tot; i++) id[i] = s[i] - '(' + 1; for (j = 0; j < 20; j++) { for (i = 1; i <= tot; i++) tmp[i] = make_pair(make_pair(id[i], id[i + (1 << j)]), i); sort(tmp + 1, tmp + 1 + tot); int c = 0; for (i = 1; i <= tot; i++) { id[tmp[i].second] = c + 1; c += tmp[i].first != tmp[i + 1].first; } if (c == tot) break; } for (i = 1; i <= tot; i++) sa[id[i]] = i; } int p[N], m[N]; int main() { int n, i; scanf("%s", s + 1); n = strlen(s + 1); for (i = 1; i <= n; i++) s[i + n] = s[i]; tot = n * 2; BuildSuffixArray(); for (i = 1; i <= n; i++) { p[i] = p[i - 1]; if (s[i] == '(') p[i]++; else p[i]--; } m[n] = p[n]; for (i = n - 1; i >= 1; i--) { m[i] = min(m[i + 1], p[i]); } int sol = M, mn = M; int add = 0; if (p[n] < 0) add = -p[n]; for (i = 1; i <= n; i++) { if (mn - p[i - 1] + p[n] + add >= 0 && m[i] - p[i - 1] + add >= 0) { sol = min(sol, id[i]); } mn = min(mn, p[i]); } if (p[n] < 0) for (i = 0; i < -p[n]; i++) printf("("); for (i = sa[sol]; i < n + sa[sol]; i++) printf("%c", s[i]); if (p[n] > 0) for (i = 0; i < p[n]; i++) printf(")"); printf("\n"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000005; int N; char S[2 * MAXN]; int ord[2 * MAXN]; pair<pair<int, int>, int> E[2 * MAXN]; int step = 1; int pre[MAXN]; int minp[MAXN]; int mins[MAXN]; char ans[MAXN]; void build() { for (int i = 0; i < N; i++) ord[i] = (S[i] == ')'); for (int jump = 1; jump < N; step++, jump *= 2) { for (int i = 0; i < N; i++) E[i] = make_pair( pair<int, int>(ord[i], (i + jump < N) ? ord[i + jump] : N), i); sort(E, E + N); int ind = -1; pair<int, int> prev(-1, -1); for (int i = 0; i < N; i++) { int idx = E[i].second; pair<int, int> cur = E[i].first; if (cur != prev) { ind++; prev = cur; } ord[idx] = ind; } } } int main() { scanf("%s", &S); N = (int)(strlen(S)); memcpy(S + N, S, N); N += N; S[N] = '|'; S[N + 1] = 0; build(); N /= 2; for (int i = 1; i <= N; i++) pre[i] = pre[i - 1] + ((S[i - 1] == '(') ? 1 : -1); minp[0] = pre[0] + pre[N]; for (int i = 1; i < N; i++) minp[i] = min(minp[i - 1], pre[i] + pre[N]); mins[N - 1] = pre[N - 1]; for (int i = N - 2; i >= 0; i--) mins[i] = min(mins[i + 1], pre[i]); int best = -1, x = min(0, pre[N]); for (int i = 0; i < N; i++) if (min(minp[i], mins[i]) - pre[i] >= x) if (best == -1 || ord[i] < ord[best]) best = i; int ind = 0; for (int i = 0; i < -pre[N]; i++) ans[ind++] = '('; for (int i = 0; i < N; i++) ans[ind++] = S[best + i]; for (int i = 0; i < pre[N]; i++) ans[ind++] = ')'; ans[ind] = 0; printf("%s\n", ans); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1010101; namespace SA { const static int N = ::N << 1; int sa[N], rk[N], ht[N], s[N << 1], t[N << 1], p[N], cnt[N], cur[N]; void sais(int n, int m, int *s, int *t, int *p) { int n1 = t[n - 1] = 0, ch = rk[0] = -1, *s1 = s + n; for (int i = n - 2; ~i; i--) t[i] = s[i] == s[i + 1] ? t[i + 1] : s[i] > s[i + 1]; for (int i = 1; i < n; i++) rk[i] = t[i - 1] && !t[i] ? (p[n1] = i, n1++) : -1; std::fill_n(sa, n, -1); std::fill_n(cnt, m, 0); for (int i = 0; i < n; i++) cnt[s[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = 0; i < m; i++) cur[i] = cnt[i] - 1; for (int i = n1 - 1; ~i; i--) sa[cur[s[p[i]]]--] = p[i]; for (int i = 1; i < m; i++) cur[i] = cnt[i - 1]; for (int i = 0; i < n; i++) if (sa[i] > 0 && t[sa[i] - 1]) sa[cur[s[sa[i] - 1]]++] = sa[i] - 1; for (int i = 0; i < m; i++) cur[i] = cnt[i] - 1; for (int i = n - 1; ~i; i--) if (sa[i] > 0 && !t[sa[i] - 1]) sa[cur[s[sa[i] - 1]]--] = sa[i] - 1; for (int i = 0, x, y; i < n; i++) if (~(x = rk[sa[i]])) { if (ch < 1 || p[x + 1] - p[x] != p[y + 1] - p[y]) ch++; else for (int j = p[x], k = p[y]; j <= p[x + 1]; j++, k++) if ((s[j] << 1 | t[j]) != (s[k] << 1 | t[k])) { ch++; break; } s1[y = x] = ch; } if (ch + 1 < n1) sais(n1, ch + 1, s1, t + n, p + n1); else for (int i = 0; i < n1; i++) sa[s1[i]] = i; for (int i = 0; i < n1; i++) s1[i] = p[sa[i]]; std::fill_n(sa, n, -1); std::fill_n(cnt, m, 0); for (int i = 0; i < n; i++) cnt[s[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = 0; i < m; i++) cur[i] = cnt[i] - 1; for (int i = n1 - 1; ~i; i--) sa[cur[s[s1[i]]]--] = s1[i]; for (int i = 1; i < m; i++) cur[i] = cnt[i - 1]; for (int i = 0; i < n; i++) if (sa[i] > 0 && t[sa[i] - 1]) sa[cur[s[sa[i] - 1]]++] = sa[i] - 1; for (int i = 0; i < m; i++) cur[i] = cnt[i] - 1; for (int i = n - 1; ~i; i--) if (sa[i] > 0 && !t[sa[i] - 1]) sa[cur[s[sa[i] - 1]]--] = sa[i] - 1; } template <typename T> int mapCharToInt(int n, const T *str) { int m = *max_element(str, str + n); std::fill_n(rk, m + 1, 0); for (int i = 0; i < n; i++) rk[str[i]] = 1; for (int i = 0; i < m; i++) rk[i + 1] += rk[i]; for (int i = 0; i < n; i++) s[i] = rk[str[i]] - 1; return rk[m]; } template <typename T> void suffixArray(int n, const T *str) { int m = mapCharToInt(++n, str); sais(n, m, s, t, p); for (int i = 0; i < n; i++) rk[sa[i]] = i; for (int i = 0, h = ht[0] = 0; i < n - 1; i++) { int j = sa[rk[i] - 1]; while (i + h < n && j + h < n && s[i + h] == s[j + h]) h++; if (ht[rk[i]] = h) h--; } } }; // namespace SA string s; int n, ans; int cnt[2], pre[N], mpre[N], msuf[N], in[N << 1]; void solve() { int add = (cnt[0] < cnt[1]) ? (cnt[1] - cnt[0]) : 0; for (int _ = (1); _ < (n << 1 | 1); _++) { int i = SA::sa[_]; if (i >= n) continue; ++i; int t = min(msuf[i] - pre[i - 1], mpre[i - 1] + pre[n] - pre[i - 1]) + add; if (t >= 0) { ans = i; return; } } } int main() { std::ios::sync_with_stdio(false); std::cin.tie(0); cin >> s; n = (int)s.size(); s = " " + s; for (int i = (1); i < (n + 1); i++) { ++cnt[s[i] == ')']; int t = (s[i] == '(') ? 1 : -1; pre[i] = pre[i - 1] + t; } mpre[1] = pre[1]; for (int i = (2); i < (n + 1); i++) mpre[i] = min(mpre[i - 1], pre[i]); msuf[n] = pre[n]; for (int i = n - 1; i; --i) msuf[i] = min(msuf[i + 1], pre[i]); for (int i = (1); i < (n + 1); i++) in[i - 1] = (s[i] == ')') + 1; for (int i = (1); i < (n + 1); i++) in[n + i - 1] = (s[i] == ')') + 1; in[n << 1] = 0; SA::suffixArray<int>(n << 1, in); solve(); while (cnt[0] < cnt[1]) cout << "(", ++cnt[0]; for (int i = (ans); i < (n + 1); i++) cout << s[i]; for (int i = (1); i < (ans); i++) cout << s[i]; while (cnt[0] > cnt[1]) cout << ")", ++cnt[1]; return 0; }
7
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1024000000,1024000000") using namespace std; int n1, w[2000010], wa[2000010], wb[2000010], sa[2000010], s[2000010], f[2000010], q[2000010]; char st[2000010]; bool cmp(int i, int j, int h, int *r) { if (r[i] < r[j]) return 1; if (i + h >= n1) return 1; return r[i + h] < r[j + h]; } void suffix(char *s) { n1 = strlen(s); int i, j, p, m = 128, *first = wa, *second = wb; for (i = 0; i < m; i++) w[i] = 0; for (i = 0; i < n1; i++) w[first[i] = s[i]]++; for (i = 1; i < m; i++) w[i] += w[i - 1]; for (i = n1 - 1; i >= 0; i--) sa[--w[first[i]]] = i; for (j = 1, p = 0; p != n1; j <<= 1, m = p) { for (i = n1 - j, p = 0; i < n1; i++) second[p++] = i; for (i = 0; i < n1; i++) if (sa[i] >= j) second[p++] = sa[i] - j; for (i = 0; i < m; i++) w[i] = 0; for (i = 0; i < n1; i++) w[first[i]]++; for (i = 1; i < m; i++) w[i] += w[i - 1]; for (i = n1 - 1; i >= 0; i--) sa[--w[first[second[i]]]] = second[i]; swap(first, second); for (i = 1, first[sa[0]] = 0, p = 1; i < n1; i++) { first[sa[i]] = cmp(sa[i - 1], sa[i], j, second) ? p++ : p - 1; } } } int main() { int T, i, j, k, ca = 0, m, n; scanf("%s", st); n = strlen(st); for (i = 0; i < n; i++) st[i + n] = st[i]; st[n + n] = 0; for (i = 0; i < n + n; i++) s[i + 1] = s[i] + (st[i] == '(' ? 1 : -1); suffix(st); int head = 0, tail = -1; for (i = 1; i <= n + n; i++) { while (head <= tail && q[head] < i - n + 1) head++; while (head <= tail && s[i] <= s[q[tail]]) tail--; q[++tail] = i; if (i >= n) f[i - n] = s[q[head]]; } k = min(s[n], 0); for (i = 0; i < n + n; i++) { j = sa[i]; if (j >= n) continue; if (f[j] - s[j] >= k) break; } for (i = 0; i < -s[n]; i++) printf("("); for (i = j; i < j + n; i++) printf("%c", st[i]); for (i = 0; i < s[n]; i++) printf(")"); puts(""); }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 3; const int M = 4e6 + 3; const int ym = 2e6; const int oo = 1e9; const int OS = 317; const int MOD = 1e9 + 7; char s[N]; int n, stp[M], p1[N], p2[N], s1[N], s2[N], ho[N], hz[N], h[N], op[N], zp[N], os[N], zs[N], il[N], ir[N]; vector<int> st; int get(int i, int ln) { int ans, lt, l; lt = min(il[i], ln); ans = (stp[ym] * 1LL * ho[lt]) % MOD; l = lt; lt = max(0, min(n - i, ln - l)); ans = (ans + (((h[i + lt] - h[i]) % MOD + MOD) % MOD * 1LL * stp[ym + l - i]) % MOD) % MOD; l += lt; lt = max(0, min(i, ln - l)); ans = (ans + h[lt] * 1LL * stp[ym + l] % MOD) % MOD; l += lt; lt = max(0, ln - l); ans = (ans + hz[lt] * 1LL * stp[ym + l] % MOD) % MOD; return ans; } int get_ch(int i, int ln) { if (ln <= il[i]) return '('; ln -= il[i]; if (ln <= n - i) return s[i + ln]; ln -= n - i; if (ln <= i) return s[ln]; else return ')'; } int ans; bool cmp(int i, int j) { int l, r, x; l = 1, r = ans; while (l <= r) { x = (l + r) >> 1; if (get(i, x) == get(j, x)) l = x + 1; else r = x - 1; } if (r + 1 > ans) return true; return get_ch(i, r + 1) <= get_ch(j, r + 1); } int main() { if (0) { freopen("input.txt", "w", stdout); int n = 1e6; for (int i = 0; i < n; ++i) printf("("); printf("\n"); return 0; } int i, j, len, mn; gets(s + 1); n = strlen(s + 1); for (i = 1; i <= n; ++i) if (s[i] == '(') p1[i] = p1[i - 1], p2[i] = p2[i - 1] + 1; else if (p2[i - 1]) p1[i] = p1[i - 1] + 2, p2[i] = p2[i - 1] - 1; else p1[i] = p1[i - 1], p2[i] = p2[i - 1]; for (i = n; i; --i) if (s[i] == ')') s1[i] = s1[i + 1], s2[i] = s2[i + 1] + 1; else if (s2[i + 1]) s1[i] = s1[i + 1] + 2, s2[i] = s2[i + 1] - 1; else s1[i] = s1[i + 1], s2[i] = s2[i + 1]; for (i = 0; i <= n; ++i) { op[i] = p2[i]; zp[i] = i - p1[i] - op[i]; zs[i] = s2[i + 1]; os[i] = n - i - s1[i + 1] - zs[i]; il[i] = zs[i]; ir[i] = op[i]; if (os[i] > zp[i]) ir[i] += os[i] - zp[i]; else il[i] += zp[i] - os[i]; } ans = oo; for (i = 0; i < n; ++i) { len = n + zs[i] + op[i] + max(os[i], zp[i]) - min(os[i], zp[i]); if (ans > len) st.clear(); if (ans >= len) ans = len, st.push_back(i); } stp[0] = 1; for (i = 1; i < M; ++i) stp[i] = (stp[i - 1] * 1LL * OS) % MOD; ho[0] = hz[0] = 0; for (i = 1; i < N; ++i) ho[i] = (ho[i - 1] + '(' * 1LL * stp[i - 1] % MOD) % MOD; for (i = 1; i < N; ++i) hz[i] = (hz[i - 1] + ')' * 1LL * stp[i - 1] % MOD) % MOD; h[0] = 0; for (i = 1; i <= n; ++i) h[i] = (h[i - 1] + s[i] * 1LL * stp[i - 1] % MOD) % MOD; mn = st[0]; for (i = 1; i < st.size(); ++i) if (cmp(st[i], mn)) mn = st[i]; i = mn; for (j = 0; j < il[i]; ++j) putchar('('); for (j = i + 1; j <= n; ++j) putchar(s[j]); for (j = 1; j <= i; ++j) putchar(s[j]); for (j = 0; j < ir[i]; ++j) putchar(')'); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2000005, ha = 1e9 + 9; inline int Get(char x) { return x == '(' ? 1 : -1; } inline int add(int x, int y) { x += y; return x >= ha ? x - ha : x; } int n, q[maxn], hd, tl, a[maxn], tot, p, N; int c[maxn], h[maxn]; char s[maxn]; inline int gethash(int x, int len) { return add(h[x + len - 1], ha - h[x - 1] * (long long)c[len] % ha); } inline bool cmp(int x, int y) { int l = 0, r = n, mid, an = 0; while (l <= r) { mid = l + r >> 1; if (gethash(x, mid) == gethash(y, mid)) an = mid, l = mid + 1; else r = mid - 1; } return an == n ? 1 : s[x + an] == '('; } inline void update(int x) { if (!p || cmp(x, p)) p = x; } inline void solve1() { c[0] = 1; for (int i = 1; i <= N; i++) { a[i] = a[i - 1] + Get(s[i]); c[i] = add(c[i - 1], add(c[i - 1], c[i - 1])); h[i] = add(add(h[i - 1], add(h[i - 1], h[i - 1])), (s[i] == '(' ? 1 : 2)); } hd = 1, tl = 0; for (int i = 1; i < N; i++) { while (hd <= tl && a[i] <= a[q[tl]]) tl--; q[++tl] = i; while (hd <= tl && q[hd] + n <= i) hd++; if (i >= n && a[q[hd]] >= a[i - n]) update(i - n + 1); } for (int i = 0; i < n; i++) putchar(s[p + i]); for (int i = 1; i <= tot; i++) putchar(')'); } inline void solve2() { c[0] = 1; for (int i = 1; i <= N; i++) { c[i] = add(c[i - 1], add(c[i - 1], c[i - 1])); h[i] = add(add(h[i - 1], add(h[i - 1], h[i - 1])), (s[i] == '(' ? 1 : 2)); } for (int i = N; i; i--) a[i] = a[i + 1] - Get(s[i]); hd = 1, tl = 0; for (int i = N - 1; i; i--) { while (hd <= tl && a[i] <= a[q[tl]]) tl--; q[++tl] = i; while (hd <= tl && q[hd] - n >= i) hd++; if (i <= n && a[q[hd]] >= a[i + n]) update(i); } for (int i = tot; i < 0; i++) putchar('('); for (int i = 0; i < n; i++) putchar(s[p + i]); } int main() { scanf("%s", s + 1), n = strlen(s + 1), N = n << 1; for (int i = 1; i <= n; i++) s[i + n] = s[i], tot += Get(s[i]); if (tot >= 0) solve1(); else solve2(); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace ::std; const int N = 1000000; int n, en, st = 2140000000, now; int a[N + 5]; int max_close[N + 5]; long long ord[N + 5]; pair<long long, int> num[N + 5]; void init() { char in[N + 5]; scanf("%s", in); n = strlen(in); int sum = 0; for (int i = 1; i <= n; i++) { a[i] = in[i - 1] == '(' ? -1 : 1; en -= a[i]; sum += a[i]; max_close[i] = max(max_close[i - 1], sum); } en = max(0, en); } void get_ord() { int m = 0, p = 0; while (p <= n * 2) { m = 0; for (int i = 1; i <= n; i++) { if (p == 0) num[i].first = a[i]; else num[i].first = ord[i] * (n + 1) + ord[(i - 1 + p) % n + 1]; num[i].second = i; } sort(num + 1, num + n + 1); for (int i = 1; i <= n; i++) { if (i != 0 && num[i].first != num[i - 1].first) m++; ord[num[i].second] = m; } if (p == 0) p = 1; else p <<= 1; } } int main() { init(); get_ord(); st = max_close[n]; now = 1; int cnt = 0, mc = 0; for (int i = n; i > 1; i--) { cnt += a[i]; mc = max(a[i], mc + a[i]); int new_st = max(max(0, mc), cnt + max_close[i - 1]); if (st > new_st || (st == new_st && ord[now] > ord[i])) { st = new_st; now = i; } } for (int i = 0; i < st; i++) printf("("); for (int i = now; i <= n; i++) { if (a[i] == -1) printf("("); else printf(")"); } for (int i = 1; i < now; i++) { if (a[i] == -1) printf("("); else printf(")"); } for (int i = 0; i < en; i++) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2e6 + 6; char s[N]; int p1[N]; int p2[N]; int s1[N]; int s2[N]; long long X1 = 277, X2 = 2887; long long M1 = 1444444447, M2 = 1777777777; long long x1[N], x2[N]; struct hasher { vector<long long> h1, h2; hasher() {} string s; hasher(char *str) { s = str; int n = s.length(); h1.assign(n + 1, 0); for (int i = n - 1; i >= 0; --i) { h1[i] = (h1[i + 1] * X1 + s[i]) % M1; } } long long get(int l, int r) { return ((h1[l] - h1[r + 1] * x1[r - l + 1] % M1 + M1) % M1); } }; int cmp(hasher &s1, int i1, int j1, hasher &s2, int i2, int j2) { int l = 0, r = min(j1 - i1 + 1, j2 - i2 + 1) + 1; while (l < r) { int m = (l + r) >> 1; if (s1.get(i1, i1 + m - 1) == s2.get(i2, i2 + m - 1)) l = m + 1; else r = m; } --l; if (i1 + l > j1 && i2 + l > j2) return 0; if (i1 + l > j1) return -1; if (i2 + l > j2) return 1; return s1.s[i1 + l] < s2.s[i2 + l] ? -1 : 1; } hasher h, ho, hz; int n; void calc(int i, int &il, int &ir) { int op = p2[i]; int zp = i - p1[i] - op; int zs = s2[i + 1]; int os = n - i - s1[i + 1] - zs; il = zs; ir = op; if (os > zp) ir += os - zp; else il += zp - os; } bool cmp(int i, int j, int len) { int il, ir, jl, jr; calc(i, il, ir); calc(j, jl, jr); int im = len - il - ir; int jm = len - jl - jr; int k = 0; for (;;) { if (k < il) { if (k < jl) { k = min(il, jl); continue; } else if (k < jl + jm) { int d = min(il - k, jl + jm - k); int dif = cmp(ho, 0, d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; k += d; continue; } else { return true; } } else if (k < il + im) { if (k < jl) { int d = min(jl - k, il + im - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, ho, 0, d - 1); if (dif) return dif < 0; k += d; continue; } else if (k < jl + jm) { int d = min(il + im - k, jl + jm - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; k += d; continue; } else { int d = min(il + im - k, len - k); int dif = cmp(h, i + (k - il), i + (k - il) + d - 1, hz, 0, d - 1); if (dif) return dif < 0; k += d; continue; } } else if (k < len) { if (k < jl) { return false; } else if (k < jl + jm) { int d = min(len - k, jl + jm - k); int dif = cmp(hz, 0, d - 1, h, j + (k - jl), j + (k - jl) + d - 1); if (dif) return dif < 0; k += d; continue; } else { k = len; continue; } } else return false; } } char e[N]; string ans; string func(string &s) { string res; int m = 0; for (int i = 0; i < s.length(); ++i) if (s[i] == '(') { ++m; } else { if (!m) res += "("; else --m; } res += s; while (m--) res += ")"; return res; } int main() { for (int i = x1[0] = 1; i < N; ++i) x1[i] = x1[i - 1] * X1 % M1; gets(s + 1); n = strlen(s + 1); for (int i = 1; i <= n; ++i) s[i + n] = s[i]; for (int i = n; i; --i) { if (s[i] == '(') { if (s2[i + 1]) { s1[i] = s1[i + 1] + 2; s2[i] = s2[i + 1] - 1; } else { s1[i] = s1[i + 1]; s2[i] = s2[i + 1]; } } else { s1[i] = s1[i + 1]; s2[i] = s2[i + 1] + 1; } } for (int i = 1; i <= n; ++i) { if (s[i] == ')') { if (p2[i - 1]) { p1[i] = p1[i - 1] + 2; p2[i] = p2[i - 1] - 1; } else { p1[i] = p1[i - 1]; p2[i] = p2[i - 1]; } } else { p1[i] = p1[i - 1]; p2[i] = p2[i - 1] + 1; } } int x = n * 10; vector<int> pos; for (int i = 0; i < n; ++i) { int op = p2[i]; int zp = i - p1[i] - op; int zs = s2[i + 1]; int os = n - i - s1[i + 1] - zs; int len = zs + op + max(os, zp) - min(os, zp) + n; if (x > len) { pos.clear(); x = len; } if (x == len) { pos.push_back(i); } int sl, sr; calc(i, sl, sr); } h = hasher(s + 1); for (int i = 0; i < n * 2; ++i) e[i] = '('; ho = hasher(e); for (int i = 0; i < n * 2; ++i) e[i] = ')'; hz = hasher(e); int res = pos[0]; for (int k = 1; k < pos.size(); ++k) if (cmp(pos[k], res, x)) res = pos[k]; int sl, sr; calc(res, sl, sr); for (int i = 0; i < sl; ++i) printf("("); for (int i = 0; i < x - sl - sr; ++i) printf("%c", s[res + i + 1]); for (int i = 0; i < sr; ++i) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2000050; const int INF = 1e9; int t[maxn], x[maxn], y[maxn], sa[maxn], rnk[maxn], height[maxn]; int seg[maxn << 2], laz[maxn << 2]; int sum[maxn]; char s[maxn]; int n, m; void get_sa() { for (int i = 1; i <= m; i++) t[i] = 0; for (int i = 1; i <= n; i++) t[x[i] = s[i]]++; for (int i = 2; i <= m; i++) t[i] += t[i - 1]; for (int i = n; i >= 1; i--) sa[t[x[i]]--] = i; for (int k = 1; k <= n; k <<= 1) { int num = 0; for (int i = n - k + 1; i <= n; i++) y[++num] = i; for (int i = 1; i <= n; i++) { if (sa[i] > k) y[++num] = sa[i] - k; } for (int i = 1; i <= m; i++) t[i] = 0; for (int i = 1; i <= n; i++) t[x[i]]++; for (int i = 2; i <= m; i++) t[i] += t[i - 1]; for (int i = n; i >= 1; i--) sa[t[x[y[i]]]--] = y[i]; swap(x, y); x[sa[1]] = 1; num = 1; for (int i = 2; i <= n; i++) { x[sa[i]] = (y[sa[i]] == y[sa[i - 1]] && y[sa[i] + k] == y[sa[i - 1] + k]) ? num : ++num; } if (num == n) break; m = num; } for (int i = 1; i <= n; i++) rnk[sa[i]] = i; } void pushup(int x) { seg[x] = min(seg[x << 1], seg[x << 1 | 1]); } void pushdown(int x) { if (laz[x]) { seg[x << 1] += laz[x]; seg[x << 1 | 1] += laz[x]; laz[x << 1] += laz[x]; laz[x << 1 | 1] += laz[x]; laz[x] = 0; } } void build(int x, int l, int r) { if (l == r) { seg[x] = sum[l]; return; } int mid = (l + r) >> 1; build(x << 1, l, mid); build(x << 1 | 1, mid + 1, r); pushup(x); } void update(int x, int l, int r, int L, int R, int val) { if (L <= l && r <= R) { seg[x] += val; laz[x] += val; return; } int mid = (l + r) >> 1; pushdown(x); if (mid >= L) update(x << 1, l, mid, L, R, val); if (mid < R) update(x << 1 | 1, mid + 1, r, L, R, val); pushup(x); } int query(int x, int l, int r, int L, int R) { if (L <= l && r <= R) return seg[x]; int mid = (l + r) >> 1, res = INF; pushdown(x); if (mid >= L) res = min(res, query(x << 1, l, mid, L, R)); if (mid < R) res = min(res, query(x << 1 | 1, mid + 1, r, L, R)); return res; } void solve() { scanf("%s", s + 1); int len_s = strlen(s + 1), tot1 = 0, tot2 = 0; for (int i = 1; i <= len_s; i++) { if (s[i] == '(') { sum[i] = sum[i - 1] + 1; tot1++; } else { sum[i] = sum[i - 1] - 1; tot2++; } } for (int i = len_s + 1; i <= 2 * len_s; i++) s[i] = s[i - len_s]; n = 2 * len_s; m = 128; get_sa(); build(1, 1, n); int res = 0; for (int i = 1; i <= len_s; i++) { if (query(1, 1, n, i, i + len_s - 1) >= min(tot1 - tot2, 0) && (!res || rnk[res] > rnk[i])) res = i; update(1, 1, n, i + 1, i + len_s - 1, ((s[i] == '(') ? -1 : 1)); int tmp = query(1, 1, n, i + len_s - 1, i + len_s - 1); update(1, 1, n, i + len_s, i + len_s, ((s[i] == '(') ? tmp + 1 : tmp - 1)); } if (tot1 <= tot2) { for (int i = 1; i <= tot2 - tot1; i++) printf("("); for (int i = res; i <= res + len_s - 1; i++) printf("%c", s[i]); } else { for (int i = res; i <= res + len_s - 1; i++) printf("%c", s[i]); for (int i = 1; i <= tot1 - tot2; i++) printf(")"); } printf("\n"); } int main() { solve(); return 0; }
7
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:66777216") using namespace std; static unsigned rnd() { static int second = 124612741; second ^= second << 13; second ^= second >> 17; return second ^= second << 5; } inline int fpow(int a, int st, int mod) { int ans = 1; while (st) { if (st % 2) ans = (long long)ans * a % mod; a = (long long)a * a % mod; st /= 2; } return ans; } int invmod(int first, int second) { int a = 1, b = 0, k; for (; second; swap(first, second), swap(a, b)) { k = first / second; first -= second * k; a -= b * k; } return a + max(b, 0); } struct Hash { Hash() : x1(0), x2(0) {} Hash(const int& x1, const int& x2) : x1(x1), x2(x2) {} int x1, x2; static int mod1, mod2; static int p1, p2; static int invp1, invp2; static bool initCalled; static const Hash ONE, ZERO, INVALID; static Hash UNIT, INV_UNIT; static bool prime(int a) { if (a == 1) return 0; for (int i = 2; i * i <= a; ++i) { if (a % i == 0) return false; } return true; } static void init() { if (initCalled) return; initCalled = true; mod1 = 1000000000 + rnd() % 10000000; while (!prime(mod1)) ++mod1; mod2 = 1000000000 + rnd() % 10000000; while (mod2 == mod1 || !prime(mod2)) ++mod2; invp1 = fpow(p1, mod1 - 2, mod1); invp2 = fpow(p2, mod2 - 2, mod2); INV_UNIT = Hash(invp1, invp2); } inline Hash& operator+=(const Hash& other) { x1 += other.x1; x1 -= (((x1 - mod1) >> 31) + 1) * mod1; x2 += other.x2; x1 -= (((x1 - mod2) >> 31) + 1) * mod2; return *this; } inline Hash& operator-=(const Hash& other) { x1 -= other.x1; if (x1 < 0) x1 += Hash::mod1; x2 -= other.x2; if (x2 < 0) x2 += Hash::mod2; return *this; } inline Hash& operator*=(const Hash& other) { x1 = (long long)x1 * other.x1 % Hash::mod1; x2 = (long long)x2 * other.x2 % Hash::mod2; return *this; } inline Hash& operator*=(const int& other) { x1 = (long long)x1 * other % Hash::mod1; x2 = (long long)x2 * other % Hash::mod2; return *this; } inline Hash& operator^=(const int& power) { int st = power; Hash ans(1, 1); while (st) { if (st % 2) ans *= *this; x1 = (long long)x1 * x1 % Hash::mod1; x2 = (long long)x2 * x2 % Hash::mod2; st /= 2; } return *this; } inline bool operator==(const Hash& other) const { return x1 == other.x1 && x2 == other.x2; } }; bool Hash::initCalled = false; int Hash::mod1 = 0; int Hash::mod2 = 0; int Hash::p1 = 23561; int Hash::p2 = 10000019; int Hash::invp1 = -1; int Hash::invp2 = -1; const Hash Hash::ONE(1, 1); const Hash Hash::ZERO(0, 0); const Hash Hash::INVALID(-1, -1); Hash Hash::UNIT(Hash::p1, Hash::p2); Hash Hash::INV_UNIT(-1, -1); inline Hash operator+(const Hash& a, const Hash& b) { Hash ans(a.x1 + b.x1, a.x2 + b.x2); if (ans.x1 >= Hash::mod1) ans.x1 -= Hash::mod1; if (ans.x2 >= Hash::mod2) ans.x2 -= Hash::mod2; return ans; } inline Hash operator-(const Hash& a, const Hash& b) { Hash ans(a.x1 - b.x1, a.x2 - b.x2); if (ans.x1 < 0) ans.x1 += Hash::mod1; if (ans.x2 < 0) ans.x2 += Hash::mod2; return ans; } inline Hash operator*(const Hash& a, const Hash& b) { return Hash((long long)a.x1 * b.x1 % Hash::mod1, (long long)a.x2 * b.x2 % Hash::mod2); } inline Hash operator*(const Hash& a, const int& b) { return Hash((long long)a.x1 * b % Hash::mod1, (long long)a.x2 * b % Hash::mod2); } inline Hash operator^(const Hash& a, const int& power) { int st = power; Hash ans(1, 1), cur(a); while (st) { if (st % 2) ans *= cur; cur *= cur; st /= 2; } return ans; } inline Hash fpow(const Hash& a, const int& power) { return a ^ power; } inline Hash invmod(const Hash& a) { return Hash(invmod(a.x1, Hash::mod1), invmod(a.x2, Hash::mod2)); } template <class H> struct HashString : public string { HashString() : string() { precalc(0); } HashString(const HashString& other) : string(other) { precalc(size()); } HashString(HashString&& other) : hh(std::move(other.hh)), string(std::move(other)) { precalc(size()); } HashString(const string& other) : string(other) { precalc(size()); build(); } HashString(string&& other) : string(std::move(other)) { precalc(size()); build(); } HashString(const char* other) : string(other) { precalc(size()); build(); } inline void clear() { hh.clear(); string::clear(); } inline static H getPow(int p) { if (p < haveN) { return pp[p]; } else { return fpow(H::UNIT, p); } } inline static H getInvPow(size_t p) { if (p < invpp.size()) { return invpp[p]; } else { return fpow(H::INV_UNIT, p); } } inline H getInvRegister(const H& p) const { if (p == register_) { return registerValue_; } else { register_ = p; return registerValue_ = invmod(p); } } static void precalc(int N = 0) { Hash::init(); if (haveN >= N) return; pp.resize(N); invpp.resize(N); if (!haveN) { pp[0] = H::ONE; invpp[0] = H::ONE; haveN = 1; } for (int i = haveN; i < N; ++i) { pp[i] = pp[i - 1] * H::UNIT; invpp[i] = invpp[i - 1] * H::INV_UNIT; } haveN = N; } inline void build() { int curSize = size(); if (haveN <= curSize) { precalc(curSize); } for (int i = hh.size(); i < curSize; ++i) { H pr = i ? hh.back() : H::ZERO; hh.push_back(pr + getPow(i) * (*this)[i]); } } inline H getHash(int pos, int len) const { if (len <= 0) return H::ZERO; const int S = size(); if (pos + len - 1 < S) { H ans = hh[pos + len - 1]; if (pos) { ans -= hh[pos - 1]; ans *= getInvPow(pos); } return ans; } else { H head = hh.back(); if (pos) { head -= hh[pos - 1]; head *= getInvPow(pos); } int full = -1, en = -1; H mid = H::ZERO; int midlen = 0; if (len <= S) { en = pos + len - 1 - S; H tail = hh[en]; full = 0; return head + tail * getPow(S - pos); } else { en = (pos + len - 1) % S; H tail = hh[en]; full = (len - (S - pos) - (en + 1)) / S; mid = hh.back() * (H::ONE - getInvPow(full * S)) * getInvRegister(H::ONE - getInvPow(S)); return head + mid * getPow(S - pos) + tail * getPow(len - (en + 1)); } } } inline HashString& operator+=(const char& ch) { string::operator+=(ch); build(); return *this; } inline HashString& operator+=(const HashString& other) { string::operator+=(other); build(); return *this; } inline bool operator==(const HashString& other) const { return hh.back() == other.hh.back(); } inline bool operator<(const HashString& other) const { int s1 = size(); int s2 = other.size(); const int S = min(s1, s2); int l = 0, r = S + 1; while (r - l > 1) { int xx = (r + l) / 2; if (getHash(0, xx) == other.getHash(0, xx)) l = xx; else r = xx; } char c1 = 0, c2 = 0; if (l < s1) c1 = (*this)[l]; if (l < s2) c2 = other[l]; return c1 < c2; } inline bool operator<=(const HashString& other) const { return (*this == other) || (*this < other); } inline bool operator>(const HashString& other) const { return !(*this == other) && !(*this < other); } inline bool operator>=(const HashString& other) const { return !(*this < other); } inline bool operator!=(const HashString& other) const { return !(*this == other); } inline void reserve(int N) { hh.reserve(N); string::reserve(N); } vector<H> hh; static vector<H> pp, invpp; private: mutable H register_, registerValue_; static int haveN; }; template <> int HashString<Hash>::haveN = 0; template <> vector<Hash> HashString<Hash>::pp = vector<Hash>(); template <> vector<Hash> HashString<Hash>::invpp = vector<Hash>(); template <class H, bool cyclic = true> struct HashStringPiece { explicit HashStringPiece(const HashString<H>& s, int pos, int len) : s(s), pos(pos), len(len), hash(H::INVALID) {} inline H getHash() const { if (hash == H::INVALID) hash = s.getHash(pos, len); return hash; } inline H getPartialHash(int needLen) const { return s.getHash(pos, needLen); } inline char getChar(int i) const { i += pos; const int S = s.size(); if (i < S) return s[i]; if (!cyclic) return 0; i -= S; if (i < S) return s[i]; return s[i % S]; } const HashString<H>& s; const int pos, len; mutable H hash; }; template <class H, class T> char getHSPRangeChar(T beg, T en, int pos) { for (T it = beg; it != en; ++it) { if (pos < it->len) { return it->getChar(pos); } pos -= it->len; } return 0; } template <class H, class T> H getHSPRangeHash(T beg, T en, int len) { H ans = H::ZERO; int cur = 0; for (T it = beg; it != en; ++it) { if (len >= it->len) { ans += it->getHash() * it->s.getPow(cur); cur += it->len; len -= it->len; } else { ans += it->getPartialHash(len) * it->s.getPow(cur); break; } } return ans; } int TB, IT; template <class H, class T> inline int compareHSPRanges(T beg1, T en1, int len1, T beg2, T en2, int len2) { if (beg1 == en1 && beg2 == en2) return 0; if (beg1 == en1) return -1; if (beg2 == en2) return 1; int l = 0, r = min(len1, len2) + 1; while (r - l > 1) { int xx = (r + l) / 2; auto h1 = getHSPRangeHash<H, T>(beg1, en1, xx); auto h2 = getHSPRangeHash<H, T>(beg2, en2, xx); if (h1 == h2) l = xx; else r = xx; } char c1 = getHSPRangeChar<H, T>(beg1, en1, l); char c2 = getHSPRangeChar<H, T>(beg2, en2, l); if (c1 < c2) return -1; else if (c1 == c2) return 0; else return 1; } template <class H, class T> inline int compareHSPRanges(T beg1, T en1, T beg2, T en2) { int len1 = 0; for (T it = beg1; it != en1; ++it) { len1 += it->len; } int len2 = 0; for (T it = beg2; it != en2; ++it) { len2 += it->len; } return compareHSPRanges<H, T>(beg1, en1, len1, beg2, en2, len2); } int a, b, c, d, n, m, k; char str[1000002]; int bal[2000002]; HashString<Hash> s; inline string build(pair<pair<int, int>, int> a) { string ans = ""; for (int _n((a.first.first) - 1), i(0); i <= _n; i++) ans += '('; for (int _n((n)-1), i(0); i <= _n; i++) { int cur = a.second + i; if (cur >= n) cur -= n; ans += str[cur]; } for (int _n((a.first.second) - 1), i(0); i <= _n; i++) ans += ')'; return ans; } HashString<Hash> op, cl; inline bool better(pair<pair<int, int>, int> a, pair<pair<int, int>, int> b, const HashString<Hash>& s) { HashStringPiece<Hash> A[3] = {HashStringPiece<Hash>(op, 0, a.first.first), HashStringPiece<Hash>(s, a.second, n), HashStringPiece<Hash>(cl, 0, a.first.second)}; HashStringPiece<Hash> B[3] = {HashStringPiece<Hash>(op, 0, b.first.first), HashStringPiece<Hash>(s, b.second, n), HashStringPiece<Hash>(cl, 0, b.first.second)}; int t = compareHSPRanges<Hash>(A, A + 3, B, B + 3); if (t == -1) return 1; else return 0; } int main() { gets(str); n = (int)strlen(str); HashString<Hash> s(str); HashString<Hash>::precalc(2 * n + 1); op.reserve(n + 1); cl.reserve(n + 1); for (int _n((n)-1), i(0); i <= _n; i++) { op += '('; cl += ')'; } c = 0; for (int _n((n)-1), i(0); i <= _n; i++) { if (str[i] == '(') ++c; else --c; } bal[0] = 0; for (int _n((2 * n) - 1), i(0); i <= _n; i++) { if (i) bal[i] = bal[i - 1]; int cur = i; if (i >= n) cur = i - n; if (str[cur] == '(') ++bal[i]; else --bal[i]; } int blen = 1000000000; pair<pair<int, int>, int> best = make_pair(make_pair(0, 0), 0); stack<pair<int, int> > s1, s2; for (int _n((n)-1), i(0); i <= _n; i++) { int new_element = bal[i]; int minima = s1.empty() ? new_element : min(new_element, s1.top().second); s1.push(make_pair(new_element, minima)); } for (int _n((n)-1), cyc(0); cyc <= _n; cyc++) { int current_minimum = -1000000000; if (s1.empty() || s2.empty()) current_minimum = s1.empty() ? s2.top().second : s1.top().second; else current_minimum = min(s1.top().second, s2.top().second); int p = 0; if (cyc) p = bal[cyc - 1]; int mn = current_minimum - p; int beg = max(0, -mn); int en = c + beg; int len = beg + en + n; if (len < blen || (len == blen && better(make_pair(make_pair(beg, en), cyc), best, s))) { blen = len; best = make_pair(make_pair(beg, en), cyc); } if (s2.empty()) { while (!s1.empty()) { int element = s1.top().first; s1.pop(); int minima = s2.empty() ? element : min(element, s2.top().second); s2.push(make_pair(element, minima)); } } s2.pop(); int new_element = bal[cyc + n]; int minima = s1.empty() ? new_element : min(new_element, s1.top().second); s1.push(make_pair(new_element, minima)); } string ans = build(best); printf("%s\n", ans.c_str()); }
7
CPP
#include <bits/stdc++.h> using namespace std; const int TOUR = 1 << 21, MOD = 1000000007, H = 3137; struct tour { int brot, brzat, dodot; tour(int brot, int brzat, int dodot) : brot(brot), brzat(brzat), dodot(dodot) {} tour() {} int vel() { return 2 * (brot + dodot); } } t[2 * TOUR]; tour Merge(const tour &l, const tour &r) { int dodr = max(0, r.dodot - (l.brot + l.dodot - l.brzat)); return tour(l.brot + r.brot, l.brzat + r.brzat, l.dodot + dodr); } char s[TOUR]; int len; int hes[TOUR]; int pot[TOUR]; int Mul(int a, int b) { return ((long long)a * b) % MOD; } int Add(int a, int b) { return (a + b) % MOD; } int Sub(int a, int b) { return (a - b + MOD) % MOD; } void GenHes() { pot[0] = 1; for (int i = 1; i < TOUR; i++) pot[i] = Mul(pot[i - 1], H); for (int i = 1; i <= 2 * len; i++) hes[i] = Add(Mul(hes[i - 1], H), s[(i - 1) % len] - '(' + 1); } int Manji(int a, int b) { a++; b++; int lo = 0, hi = len; for (; lo < hi;) { int mid = (lo + hi + 1) / 2; if (Sub(hes[a + mid - 1], Mul(hes[a - 1], pot[mid])) == Sub(hes[b + mid - 1], Mul(hes[b - 1], pot[mid]))) lo = mid; else hi = mid - 1; } return s[(a + lo - 1) % len] < s[(b + lo - 1) % len]; } void Ispis(int poc, int dodot, int dodzat) { for (int i = 0; i < dodot; i++) printf("("); for (int i = 0; i < len; i++, poc++) printf("%c", s[poc % len]); for (int i = 0; i < dodzat; i++) printf(")"); printf("\n"); } void GenTour() { for (int i = 2 * TOUR - 1; i; i--) { if (i < TOUR) t[i] = Merge(t[2 * i], t[2 * i + 1]); else { int poz = i - TOUR; if (poz >= 2 * len) continue; if (s[poz % len] == '(') t[i] = tour(1, 0, 0); else t[i] = tour(0, 1, 1); } } } tour Vrati(int pos, int lo, int hi, int begin, int end) { if (lo >= end || hi <= begin) return tour(0, 0, 0); if (lo >= begin && hi <= end) return t[pos]; return Merge(Vrati(2 * pos + 0, lo, (lo + hi) / 2, begin, end), Vrati(2 * pos + 1, (lo + hi) / 2, hi, begin, end)); } int main() { tour rje = tour(0, 0, 0); int indr = 0; scanf("%s", s); len = (int)strlen(s); GenTour(); GenHes(); for (int i = 0; i < len; i++) { tour tmp = Vrati(1, 0, TOUR, i, i + len); if (!i || tmp.vel() < rje.vel() || (tmp.vel() == rje.vel() && Manji(i, indr))) { rje = tmp; indr = i; } } Ispis(indr, rje.dodot, rje.dodot + rje.brot - rje.brzat); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2e6 + 5; char s[N]; int tp[N], rak[N], sa[N], tax[N], sl, m, lr_cnt[N], lg[N], f[N][20], rl_cnt[N]; void radixSort() { for (int i = 1; i <= m; i++) tax[i] = 0; for (int i = 1; i <= sl; i++) tax[rak[i]]++; for (int i = 1; i <= m; i++) tax[i] += tax[i - 1]; for (int i = sl; i; i--) sa[tax[rak[tp[i]]]--] = tp[i]; } void build_sa() { m = 125; for (int i = 1; i <= sl; i++) rak[i] = s[i], tp[i] = i; radixSort(); for (int p = 0, w = 1; p < sl; w <<= 1, m = p) { p = 0; for (int i = 1; i <= w; i++) tp[++p] = sl - w + i; for (int i = 1; i <= sl; i++) if (sa[i] > w) tp[++p] = sa[i] - w; radixSort(); swap(tp, rak); rak[sa[1]] = p = 1; for (int i = 2; i <= sl; i++) rak[sa[i]] = (tp[sa[i]] == tp[sa[i - 1]] && tp[sa[i] + w] == tp[sa[i - 1] + w]) ? p : ++p; } } void make_st() { int range = lg[sl]; if (lr_cnt[sl] > 0) { for (int i = 1; i <= sl; i++) f[i][0] = lr_cnt[i]; for (int i = 1; i <= range; i++) for (int j = 1; j + (1 << i) - 1 <= sl; j++) f[j][i] = min(f[j][i - 1], f[j + (1 << (i - 1))][i - 1]); } else { for (int i = 1; i <= sl; i++) f[i][0] = rl_cnt[i]; for (int i = 1; i <= range; i++) for (int j = 1; j + (1 << i) - 1 <= sl; j++) f[j][i] = max(f[j][i - 1], f[j + (1 << (i - 1))][i - 1]); } } int query(int l, int r) { int range = lg[r - l + 1]; if (lr_cnt[sl] > 0) return min(f[l][range], f[r - (1 << range) + 1][range]); else return max(f[l][range], f[r - (1 << range) + 1][range]); } int main() { scanf("%s", s + 1); sl = strlen(s + 1); for (int i = 1; i <= sl; i++) s[i + sl] = s[i]; sl <<= 1; build_sa(); for (int i = 1; i <= sl; i++) lr_cnt[i] = lr_cnt[i - 1] + ((s[i] == '(') ? 1 : -1); for (int i = sl; i; i--) rl_cnt[i] = rl_cnt[i + 1] + ((s[i] == '(') ? 1 : -1); for (int i = 2; i <= sl; i++) lg[i] = lg[i - 1] + (i == (1 << (lg[i - 1] + 1))); make_st(); int l_fill = 0, r_fill = 0, ans_pos; if (lr_cnt[sl] > 0) r_fill = lr_cnt[sl] / 2; else l_fill = abs(lr_cnt[sl] / 2); for (int i = 1; i <= sl; i++) { int p = sa[i]; if (p > sl / 2) continue; int res = query(p, p + sl / 2 - 1); if (lr_cnt[sl] > 0) { if (res - lr_cnt[p - 1] < 0) continue; } else { if (res - rl_cnt[p + sl / 2] > 0) continue; } ans_pos = p; break; } for (int i = 1; i <= l_fill; i++) printf("("); for (int i = ans_pos; i <= ans_pos + sl / 2 - 1; i++) printf("%c", s[i]); for (int i = 1; i <= r_fill; i++) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void amin(T &x, U y) { if (y < x) x = y; } template <typename T, typename U> inline void amax(T &x, U y) { if (x < y) x = y; } unsigned long long readTimeStampCounter() { unsigned a = 123456789, b = 987654321; asm("rdtsc;\n\t" : "=d"(a), "=a"(b)); return (unsigned long long)a << 32 | b; } unsigned xor128() { static unsigned x = 123456789, y = 362436069, z = (unsigned)(readTimeStampCounter() >> 32), w = (unsigned)readTimeStampCounter(); unsigned t = x ^ (x << 11); x = y; y = z; z = w; return w = w ^ (w >> 19) ^ (t ^ (t >> 8)); } struct SubstringHash { static const int NumMods = 4; static const unsigned Mods[NumMods]; struct Hash { unsigned hs[NumMods]; Hash() { for (int k = 0; k < NumMods; ++k) hs[k] = 0; } bool operator==(const Hash &that) const { bool res = true; for (int k = 0; k < NumMods; ++k) res &= hs[k] == that.hs[k]; return res; } bool operator<(const Hash &that) const { for (int k = 0; k < NumMods; ++k) if (hs[k] != that.hs[k]) return hs[k] < that.hs[k]; return false; } }; static unsigned seeds[NumMods]; static std::vector<Hash> powh; std::vector<Hash> preh; SubstringHash() { if (seeds[0] == 0) initSeeds(); } static void initSeeds() { for (int k = 0; k < NumMods; ++k) { unsigned x; do x = xor128(); while (x == 0 || x >= Mods[k]); seeds[k] = x; } } static void expandPowH(int newSize) { if ((int)powh.size() >= newSize) return; int oldSize = powh.size(); powh.resize(newSize); if (oldSize == 0) for (int k = 0; k < NumMods; ++k) powh[0].hs[k] = 1; for (int i = std::max(1, oldSize); i < newSize; i++) for (int k = 0; k < NumMods; ++k) powh[i].hs[k] = (unsigned long long)powh[i - 1].hs[k] * seeds[k] % Mods[k]; } template <typename V> void init(const V &v, int n) { expandPowH(n + 1); preh.resize(n + 1); preh[0] = Hash(); for (int i = 0; i < n; i++) for (int k = 0; k < NumMods; ++k) preh[i + 1].hs[k] = ((unsigned long long)preh[i].hs[k] * seeds[k] % Mods[k] + v[i]) % Mods[k]; } Hash hash(int j) const { return preh[j]; } Hash hash(int i, int j) const { if (i == 0) return hash(j); Hash res; for (int k = 0; k < NumMods; ++k) { unsigned x = preh[j].hs[k] + Mods[k] - (unsigned)((unsigned long long)preh[i].hs[k] * powh[j - i].hs[k] % Mods[k]); res.hs[k] = x >= Mods[k] ? x - Mods[k] : x; } return res; } Hash append(const Hash &h, const Hash &g, int glen) const { Hash res; for (int k = 0; k < NumMods; ++k) { unsigned x = (unsigned)((unsigned long long)h.hs[k] * powh[glen].hs[k] % Mods[k]) + g.hs[k]; res.hs[k] = x >= Mods[k] ? x - Mods[k] : x; } return res; } }; const unsigned SubstringHash::Mods[SubstringHash::NumMods] = { 2147483647U, 2147483629U, 2147483587U, 2147483579U}; unsigned SubstringHash::seeds[SubstringHash::NumMods]; std::vector<SubstringHash::Hash> SubstringHash::powh; struct Sum { int miniLv, addLv; Sum() : miniLv(0), addLv(0) {} Sum(char c) : miniLv(c == '(' ? 0 : -1), addLv(c == '(' ? 1 : -1) {} Sum operator+(const Sum &that) const { Sum res; res.miniLv = min(miniLv, addLv + that.miniLv); res.addLv = addLv + that.addLv; return res; } }; struct GetRangeSegmentTree { static Sum combineVal(const Sum &x, const Sum &y) { return x + y; } static void combinesVal(Sum &x, const Sum &y) { x = x + y; } static Sum identityVal() { return Sum(); } vector<Sum> nodes; int n; void init(int n_, const Sum &v = Sum()) { init(vector<Sum>(n_, v)); } void init(const vector<Sum> &u) { n = 1; while (n < (int)u.size()) n *= 2; nodes.resize(n, identityVal()); nodes.insert(nodes.end(), u.begin(), u.end()); nodes.resize(n * 2, identityVal()); for (int i = n - 1; i > 0; --i) nodes[i] = combineVal(nodes[i * 2], nodes[i * 2 + 1]); } Sum get(int i) { return nodes[i + n]; } Sum getWhole() const { return nodes[1]; } Sum getRange(int l, int r) const { Sum m = identityVal(); int indices[64]; int k = 0; for (; l && l + (l & -l) <= r; l += l & -l) combinesVal(m, nodes[(n + l) / (l & -l)]); for (; l < r; r -= r & -r) indices[k++] = (n + r) / (r & -r) - 1; while (--k >= 0) combinesVal(m, nodes[indices[k]]); return m; } Sum getRangeCommutative(int l, int r) const { Sum m = identityVal(); for (; l && l + (l & -l) <= r; l += l & -l) combinesVal(m, nodes[(n + l) / (l & -l)]); for (; l < r; r -= r & -r) combinesVal(m, nodes[(n + r) / (r & -r) - 1]); return m; } void set(int i, const Sum &x) { i += n; nodes[i] = x; for (i >>= 1; i > 0; i >>= 1) nodes[i] = combineVal(nodes[i * 2], nodes[i * 2 + 1]); } }; SubstringHash::Hash getHash(int h1, int n, int i1, int mid, const SubstringHash &subhS, const SubstringHash &subhO, const SubstringHash &subhC) { if (mid <= h1) return subhO.hash(0, mid); else if (mid <= h1 + n) return subhS.append(subhO.hash(0, mid), subhS.hash(i1, i1 + (mid - h1)), mid - h1); else return subhC.append( subhS.append(subhO.hash(0, mid), subhS.hash(i1, i1 + n), n), subhC.hash(0, mid - h1 - n), mid - h1 - n); } char getChar(int h1, int n, int i1, int mid, const char *S) { if (mid < h1) return '('; else if (mid < h1 + n) return S[i1 + (mid - h1)]; else return ')'; } bool compare(int n, int len1, int len2, int i1, int i2, int h1, int h2, const char *S, const SubstringHash &subhS, const SubstringHash &subhO, const SubstringHash &subhC) { if (len1 != len2) return len1 < len2; int len = len1; int l = 0, u = len; while (u - l > 0) { int mid = (l + u + 1) / 2; SubstringHash::Hash h = getHash(h1, n, i1, mid, subhS, subhO, subhC); SubstringHash::Hash g = getHash(h2, n, i2, mid, subhS, subhO, subhC); if (h == g) l = mid; else u = mid - 1; } return getChar(h1, n, i1, l, S) < getChar(h2, n, i2, l, S); } int main() { char *S = new char[2000001]; char *ans = new char[2000001]; while (~scanf("%s", S)) { int n = strlen(S); for (int(i) = 0; (i) < (int)(n); ++(i)) S[n + i] = S[i]; S[n + n] = 0; SubstringHash subhS, subhO, subhC; subhS.init(S, n + n); string O(n + n, '('), C(n + n, ')'); subhO.init(O, O.size()); subhC.init(C, C.size()); int minLen = 0x3f3f3f3f; int minHead = 0, minPos = -1; GetRangeSegmentTree segt; segt.init(vector<Sum>(S, S + (n + n))); for (int(i) = 0; (i) < (int)(n); ++(i)) { Sum sum = segt.getRange(i, i + n); int len = n + sum.addLv + -sum.miniLv * 2; int head = -sum.miniLv; if (compare(n, len, minLen, i, minPos, head, minHead, S, subhS, subhO, subhC)) { minLen = len; minPos = i; minHead = head; } } char *p = ans; for (int(k) = 0; (k) < (int)(minHead); ++(k)) *(p++) = '('; for (int(i) = 0; (i) < (int)(n); ++(i)) *(p++) = S[minPos + i]; for (int(i) = 0; (i) < (int)(minLen - n - minHead); ++(i)) *(p++) = ')'; *p = 0; puts(ans); } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2E6 + 5, MOD = 1E9 + 7; int n, sum[N]; long long hsh[N], pw[N] = {1}; char s[N]; pair<int, int> ans = {N, N}; deque<int> de; long long get_hash(int l, int r) { return (hsh[r] - hsh[l - 1] * pw[r - l + 1] + 1LL * MOD * MOD) % MOD; } bool compare(int u, int v) { int le = 0, ri = n - 1; while (le <= ri) { int mi = (le + ri) / 2; if (get_hash(u, u + mi) == get_hash(v, v + mi)) { le = mi + 1; } else { ri = mi - 1; } } if (le == n) { return true; } else { return s[u + le] < s[v + le]; } } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cin >> s; n = strlen(s); for (int i = 0; i < n; i++) { s[i + n] = s[i]; sum[i + n] = sum[i] = (s[i] == '(' ? 1 : -1); hsh[i + n] = hsh[i] = (s[i] == '(' ? 0 : 1); } for (int i = 1; i < 2 * n; i++) { sum[i] += sum[i - 1]; pw[i] = pw[i - 1] * 2 % MOD; (hsh[i] += hsh[i - 1] * 2) %= MOD; } for (int i = 0; i < n; i++) { while (!de.empty() && sum[de.back()] >= sum[i]) { de.pop_back(); } de.push_back(i); } for (int i = n; i < 2 * n; i++) { int u = i - n + 1; while (!de.empty() && sum[de.back()] >= sum[i]) { de.pop_back(); } de.push_back(i); while (!de.empty() && de.front() < i - n) { de.pop_front(); } int len = sum[i - n] - sum[de.front()]; if (len < ans.first) { ans = {len, u}; } else if (len == ans.first && compare(u, ans.second)) { ans = {len, u}; } } for (int i = 0; i < ans.first; i++) { cout << '('; } for (int i = 0; i < n; i++) { cout << s[ans.second % n + i]; } for (int i = 0; i < ans.first + sum[n - 1]; i++) { cout << ')'; } }
7
CPP
#include <bits/stdc++.h> using namespace std; inline long long pow(long long a, long long b, long long mo) { if (!a) return 0; long long tmp = 1; for (; b; b >>= 1) { if (b & 1) tmp = (long long)tmp * a % mo; a = (long long)a * a % mo; } return tmp; } template <class T> inline void R(T &xx) { xx = 0; char ch = getchar(); bool F = 0; while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') F = 1, ch = getchar(); while (ch >= '0' && ch <= '9') xx = xx + xx + (xx << 3) + ch - 48, ch = getchar(); if (F) xx = -xx; } char s[2000011]; int n; int w[2000011], wa[2000011], wb[2000011], sa[2000011], r[2000011]; void da(char a[], int n, int m) { int p, *x = wa, *y = wb; n++; for (int i = (0); i <= (m); i++) w[i] = 0; for (int i = 0; i < (int)(n); i++) w[r[i] = a[i]]++; for (int i = (1); i <= (m); i++) w[i] += w[i - 1]; for (int i = 0; i < (int)(n); i++) sa[--w[a[i]]] = i; for (int j = 1;; j <<= 1, m = p) { p = 0; for (int i = (n - j); i < (int)(n); i++) y[p++] = i; for (int i = 0; i < (int)(n); i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (int i = (0); i <= (m); i++) w[i] = 0; for (int i = 0; i < (int)(n); i++) w[r[i]]++; for (int i = (1); i <= (m); i++) w[i] += w[i - 1]; for (int i = (n)-1; ~i; i--) sa[--w[r[y[i]]]] = y[i]; for (int i = 0; i < (int)(n); i++) x[i] = r[i]; p = 1; r[sa[0]] = 0; for (int i = (1); i < (int)(n); i++) r[sa[i]] = (x[sa[i]] == x[sa[i - 1]] && x[sa[i] + j] == x[sa[i - 1] + j]) ? p - 1 : p++; if (p == n) break; } } pair<int, int> seg[2000011 << 2]; void build(int p, int l, int r) { if (l == r) { seg[p] = (s[l] == 1) ? make_pair(1, 0) : make_pair(-1, -1); return; } int mid = l + r >> 1; build((p << 1), l, mid); build((p << 1 | 1), mid + 1, r); seg[p] = make_pair(seg[(p << 1)].first + seg[(p << 1 | 1)].first, min(seg[(p << 1)].second, seg[(p << 1)].first + seg[(p << 1 | 1)].second)); } pair<int, int> que(int p, int l, int r, int L, int R) { if (L <= l && R >= r) return seg[p]; int mid = l + r >> 1; if (R <= mid) return que((p << 1), l, mid, L, R); if (L > mid) return que((p << 1 | 1), mid + 1, r, L, R); pair<int, int> le = que((p << 1), l, mid, L, R), ri = que((p << 1 | 1), mid + 1, r, L, R); return make_pair(le.first + ri.first, min(le.second, le.first + ri.second)); } int main() { gets(s); int l = n = strlen(s); for (int i = 0; i < (int)(n); i++) s[i + n] = (s[i] = (s[i] == '(' ? 1 : 2)); n <<= 1; da(s, n, 3); int cnt = 0, addl = 0, addr = 0; for (int i = 0; i < (int)(l); i++) if (s[i] == 1) cnt++; else cnt--; if (cnt > 0) addr = cnt; else addl = -cnt; build(1, 0, n - 1); for (int i = (1); i <= (n); i++) if (sa[i] < l && addl + que(1, 0, n - 1, sa[i], sa[i] + l - 1).second >= 0) { for (int j = 0; j < (int)(addl); j++) putchar('('); for (int j = (sa[i]); j <= (sa[i] + l - 1); j++) putchar((s[j] == 2) ? ')' : '('); for (int j = 0; j < (int)(addr); j++) putchar(')'); puts(""); return 0; } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; int n, s[2000100]; bool vis[2000100]; char t[2000100]; int sa[2000100], rnk[2000100], tmp[2000100], cnt[2000100]; void build(char *s) { int n = strlen(s) + 1, m = 256; int *x = rnk, *y = tmp, *z; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i] = s[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[i]]] = i; for (int j = 1, p = 1; p < n; j <<= 1, m = p) { p = 0; for (int i = n - j; i < n; i++) y[p++] = i; for (int i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[y[i]]]] = y[i]; z = x, x = y, y = z; x[sa[0]] = 0, p = 1; for (int i = 1; i < n; i++) x[sa[i]] = (y[sa[i]] == y[sa[i - 1]] && y[sa[i] + j] == y[sa[i - 1] + j]) ? p - 1 : p++; } for (int i = 0; i < n; i++) rnk[sa[i]] = i; } int main() { scanf("%s", t + 1); n = strlen(t + 1); int mn = 0; for (int i = 1; i <= n; i++) { s[i] = s[i - 1]; if (t[i] == '(') s[i]++; else s[i]--; mn = min(mn, s[i]); } for (int i = 1; i <= n; i++) t[n + i] = t[i], s[i + n] = s[i] + s[n]; int dn = 0; if (s[n] < 0) dn = -s[n]; build(t + 1); multiset<int> S; for (int i = n + 1; i <= 2 * n; i++) S.insert(s[i]); int k, p = 1e9; for (int i = n; i >= 0; i--) { int t = *S.begin(); S.erase(S.find(s[i + n])); if (t - s[i] + dn >= 0) { if (rnk[i] < p) p = rnk[i], k = i + 1; } S.insert(s[i]); } int sum = s[n]; if (sum < 0) for (int i = sum; i < 0; i++) putchar('('); for (int i = 0; i < n; i++) putchar(t[k + i]); if (sum > 0) for (int i = 0; i < sum; i++) putchar(')'); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; char str[1000006]; struct SuffixArray { SuffixArray(string _s) { initialize(_s); }; void initialize(string _s = "") { s = _s; p.clear(); p.resize(s.size()); pn.clear(); pn.resize(s.size()); c.clear(); c.resize(s.size()); cn.clear(); cn.resize(s.size()); cnt.clear(); cnt.resize(alphabetSize = max(256, (int)s.size())); } void build(bool withLcp = false) { for (int i = 0; i < s.size(); ++i) { cnt[s[i]]++; } for (int i = 1; i < 256; ++i) cnt[i] += cnt[i - 1]; for (int i = s.size() - 1; i >= 0; --i) p[--cnt[s[i]]] = i; int classes = 1; c[p[0]] = 0; for (int i = 1; i < p.size(); ++i) { if (s[p[i]] != s[p[i - 1]]) ++classes; c[p[i]] = classes - 1; } for (int h = 0; (1 << h) < s.size(); ++h) { for (int i = 0; i < p.size(); ++i) { pn[i] = p[i] - (1 << h); if (pn[i] < 0) pn[i] += s.size(); } cnt.assign(alphabetSize, 0); for (int i = 0; i < pn.size(); ++i) ++cnt[c[pn[i]]]; for (int i = 1; i < cnt.size(); ++i) cnt[i] += cnt[i - 1]; for (int i = pn.size() - 1; i >= 0; --i) { p[--cnt[c[pn[i]]]] = pn[i]; } classes = 1; cn[p[0]] = 0; for (int i = 1; i < p.size(); ++i) { int mid1 = (p[i - 1] + (1 << h)) % s.size(), mid2 = (p[i] + (1 << h)) % s.size(); if (c[p[i - 1]] != c[p[i]] || c[mid1] != c[mid2]) ++classes; cn[p[i]] = classes - 1; } c = cn; if (classes == s.size()) break; } if (withLcp) buildLcp(); } void buildLcp() { lcp.clear(); lcp.resize(s.size()); rev.clear(); rev.resize(s.size()); for (int i = 0; i < p.size(); ++i) rev[p[i]] = i; int cur = 0; for (int i = 0; i < s.size(); ++i) { if (cur > 0) --cur; if (rev[i] == 0) continue; while (i + cur < s.size() && s[i + cur] == s[p[rev[i] - 1] + cur]) ++cur; lcp[rev[i]] = cur; } } void output() { for (int i = 0; i < p.size(); ++i) cout << p[i] << " "; cout << endl; for (int i = 0; i < p.size(); ++i) { cout << s.substr(p[i]) << endl; } if (lcp.size() == s.size()) { for (int i = 0; i < lcp.size(); ++i) cout << lcp[i] << " "; cout << endl; } } string s; int alphabetSize; vector<int> p, c, pn, cn, cnt, lcp, rev; }; int bal[1000006]; int pref[1000006]; int suf[1000006]; int main() { gets(str); int n = strlen(str); SuffixArray sufa(str); sufa.build(); int open = 0, cl = 0; for (int i = 0; i < n; ++i) { bal[i] += str[i] == '(' ? 1 : -1; if (i) bal[i] += bal[i - 1]; if (str[i] == '(') ++open; else ++cl; } for (int i = 0; i < n; ++i) { pref[i] = bal[i]; if (i) pref[i] = min(pref[i], pref[i - 1]); } for (int i = n - 1; i >= 0; --i) { suf[i] = bal[i]; if (i + 1 < n) suf[i] = min(suf[i], suf[i + 1]); } int mx = -100000000, mn = 100000000; for (int i = 0; i < n; ++i) { int total = 0; total = min(suf[i] - (i > 0 ? bal[i - 1] : 0), 0); total = min(bal[n - 1] - (i > 0 ? bal[i - 1] : 0) + (i > 0 ? pref[i - 1] : 0), total); if (total >= 0) mn = min(mn, total); else { mx = max(mx, total); } } string s1 = "", s2 = ""; for (int i = 0; i < n; ++i) { int ind = sufa.p[i]; int total = 0; total = min(suf[ind] - (ind > 0 ? bal[ind - 1] : 0), 0); total = min(bal[n - 1] - (ind > 0 ? bal[ind - 1] : 0) + (ind > 0 ? pref[ind - 1] : 0), total); if (s1 == "" && total == mx) { s1 = string(-total, '('); for (int j = 0; j < n; ++j) s1 += str[(ind + j) % n]; int add = -total + open - cl; if (add > 0) s1 += string(add, ')'); } if (s2 == "" && total == mn) { for (int j = 0; j < n; ++j) s2 += str[(ind + j) % n]; int add = open - cl; if (add > 0) s2 += string(add, ')'); } } string s; if (s1 != "") s = s1; if (s2 != "" && (s == "" || s.size() > s2.size() || s.size() == s2.size() && s > s2)) s = s2; printf("%s\n", s.c_str()); return 0; }
7
CPP
#include <bits/stdc++.h> const int N = 2000010; int sa[N], t[N], t2[N], c[N], wt[N]; bool cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void build_sa(char *s, int n, int m) { int p = 1, *x = t, *y = t2; for (int i = 0; i < m; i++) c[i] = 0; for (int i = 0; i < n; i++) c[x[i] = s[i]]++; for (int i = 1; i < m; i++) c[i] += c[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--c[x[i]]] = i; for (int j = 1; p < n; j <<= 1, m = p) { p = 0; for (int i = n - j; i < n; i++) y[p++] = i; for (int i = 0; i < n; i++) if (sa[i] >= j) { y[p++] = sa[i] - j; } for (int i = 0; i < n; i++) wt[i] = x[y[i]]; for (int i = 0; i < m; i++) c[i] = 0; for (int i = 0; i < n; i++) c[wt[i]]++; for (int i = 1; i < m; i++) c[i] += c[i - 1]; for (int i = n - 1; i >= 0; i--) { sa[--c[wt[i]]] = y[i]; } std::swap(x, y); p = 1, x[sa[0]] = 0; for (int i = 1; i < n; i++) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } int rnk[N], H[N]; void getheight(char *s, int n) { int i, j, k = 0; for (i = 1; i <= n; i++) rnk[sa[i]] = i; for (i = 0; i < n; H[rnk[i++]] = k) for (k ? k-- : 0, j = sa[rnk[i] - 1]; s[i + 1] == s[j + k]; k++) ; } char s[N]; int sum[N]; int min[N][25]; void build_rmq(int *sum, int n) { for (int i = 0; i < n; i++) min[i][0] = sum[i]; for (int j = 1, p = 2; p < n; j++, p <<= 1) { for (int i = 0; i + p - 1 < n; i++) { min[i][j] = std::min(min[i][j - 1], min[i + p / 2][j - 1]); } } } int Getmin(int a, int b) { if (a > b) std::swap(a, b); int k = log(1.0 * (b - a + 1)) / log(2.0); return std::min(min[a][k], min[b - (1 << k) + 1][k]); } int A, B; void Go(int n) { int res = -1; for (int i = 1; i <= n; i++) { if (sa[i] >= n / 2) continue; int low = Getmin(sa[i], sa[i] + n / 2 - 1); if (sa[i]) low -= sum[sa[i] - 1]; if (low < 0 && low - A < 0) continue; res = sa[i]; break; } assert(res != -1); if (A < 0) { for (int i = 0; i < -A; i++) putchar('('); } for (int i = res; i < res + n / 2; i++) putchar(s[i]); if (A > 0) { for (int i = 0; i < A; i++) putchar(')'); } puts(""); } int main() { int n; scanf("%s", s); n = strlen(s); for (int i = 0; i < n; i++) { s[i + n] = s[i]; if (s[i] == '(') { sum[i] = sum[i + n] = 1; } else { sum[i] = sum[i + n] = -1; } if (s[i] == '(') A++; else B++; } A -= B; n <<= 1; for (int i = 1; i < n; i++) { sum[i] += sum[i - 1]; } build_rmq(sum, n); s[n] = 0; build_sa(s, n + 1, 45); Go(n); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 3; const int M = 4e6 + 3; const int ym = 2e6; const int oo = 1e9; const int OS = 317; const int MOD = 1e9 + 7; char s[N]; int n, stp[M], p1[N], p2[N], s1[N], s2[N], ho[N], hz[N], h[N], op[N], zp[N], os[N], zs[N], il[N], ir[N]; vector<int> st; int get(int i, int ln) { int ans, tmp, lt, l; lt = min(il[i], ln); ans = ho[lt] * 1LL * stp[ym] % MOD; l = lt; lt = max(0, min(n - i, ln - l)); if (lt) ans = (ans + (h[i + lt] - h[i]) * 1LL * stp[ym + l - i] % MOD) % MOD; l += lt; lt = max(0, min(i, ln - l)); if (lt) ans = (ans + h[lt] * 1LL * stp[ym + l] % MOD) % MOD; l += lt; lt = max(0, ln - l); if (lt) ans = (ans + hz[lt] * 1LL * stp[ym + l] % MOD) % MOD; if (ans < 0) ans += MOD; return ans; } int get_ch(int i, int ln) { if (ln <= il[i]) return '('; ln -= il[i]; if (ln <= n - i) return s[i + ln]; ln -= n - i; if (ln <= i) return s[ln]; else return ')'; } int ans; bool cmp(int i, int j) { int l, r, x; l = 1, r = ans; while (l <= r) { x = (l + r) >> 1; if (get(i, x) == get(j, x)) l = x + 1; else r = x - 1; } return get_ch(i, r + 1) <= get_ch(j, r + 1); } int main() { if (0) { freopen("input.txt", "w", stdout); int n = 1e6; for (int i = 0; i < n; ++i) printf("("); printf("\n"); return 0; } int i, j, len, mn; gets(s + 1); n = strlen(s + 1); for (i = 1; i <= n; ++i) if (s[i] == '(') p1[i] = p1[i - 1], p2[i] = p2[i - 1] + 1; else if (p2[i - 1]) p1[i] = p1[i - 1] + 2, p2[i] = p2[i - 1] - 1; else p1[i] = p1[i - 1], p2[i] = p2[i - 1]; for (i = n; i; --i) if (s[i] == ')') s1[i] = s1[i + 1], s2[i] = s2[i + 1] + 1; else if (s2[i + 1]) s1[i] = s1[i + 1] + 2, s2[i] = s2[i + 1] - 1; else s1[i] = s1[i + 1], s2[i] = s2[i + 1]; for (i = 0; i <= n; ++i) { op[i] = p2[i]; zp[i] = i - p1[i] - op[i]; zs[i] = s2[i + 1]; os[i] = n - i - s1[i + 1] - zs[i]; il[i] = zs[i]; ir[i] = op[i]; if (os[i] > zp[i]) ir[i] += os[i] - zp[i]; else il[i] += zp[i] - os[i]; } ans = oo; for (i = 0; i < n; ++i) { len = n + zs[i] + op[i] + max(os[i], zp[i]) - min(os[i], zp[i]); if (ans > len) st.clear(); if (ans >= len) ans = len, st.push_back(i); } stp[0] = 1; for (i = 1; i < M; ++i) stp[i] = (stp[i - 1] * 1LL * OS) % MOD; ho[0] = hz[0] = 0; for (i = 1; i < N; ++i) ho[i] = (ho[i - 1] + '(' * 1LL * stp[i - 1] % MOD) % MOD; for (i = 1; i < N; ++i) hz[i] = (hz[i - 1] + ')' * 1LL * stp[i - 1] % MOD) % MOD; h[0] = 0; for (i = 1; i <= n; ++i) h[i] = (h[i - 1] + s[i] * 1LL * stp[i - 1] % MOD) % MOD; mn = st[0]; for (i = 1; i < st.size(); ++i) if (cmp(st[i], mn)) mn = st[i]; i = mn; for (j = 0; j < il[i]; ++j) putchar('('); for (j = i + 1; j <= n; ++j) putchar(s[j]); for (j = 1; j <= i; ++j) putchar(s[j]); for (j = 0; j < ir[i]; ++j) putchar(')'); return 0; }
7
CPP
#include <bits/stdc++.h> const int LEN = 2000100 * 3; int r[LEN], sa[LEN]; int wa[LEN], wb[LEN], wv[LEN], ss[LEN]; int c0(int *r, int a, int b) { return r[a] == r[b] && r[a + 1] == r[b + 1] && r[a + 2] == r[b + 2]; } int c12(int k, int *r, int a, int b) { if (k == 2) return r[a] < r[b] || r[a] == r[b] && c12(1, r, a + 1, b + 1); return r[a] < r[b] || r[a] == r[b] && wv[a + 1] < wv[b + 1]; } void sort(int *r, int *a, int *b, int n, int m) { for (int i = 0; i < n; i++) wv[i] = r[a[i]]; for (int i = 0; i < m; i++) ss[i] = 0; for (int i = 0; i < n; i++) ss[wv[i]]++; for (int i = 1; i < m; i++) ss[i] += ss[i - 1]; for (int i = n - 1; i >= 0; i--) b[--ss[wv[i]]] = a[i]; } void DC3(int *r, int *sa, int n, int m) { int i, j, p; int *san = sa + n, *rn = r + n; int ta = 0, tb = (n + 1) / 3, tbc = 0; r[n] = r[n + 1] = 0; for (i = 0; i < n; i++) if (i % 3 != 0) wa[tbc++] = i; sort(r + 2, wa, wb, tbc, m); sort(r + 1, wb, wa, tbc, m); sort(r, wa, wb, tbc, m); for (p = 1, rn[((wb[0]) / 3 + ((wb[0]) % 3 == 1 ? 0 : tb))] = 0, i = 1; i < tbc; i++) rn[((wb[i]) / 3 + ((wb[i]) % 3 == 1 ? 0 : tb))] = c0(r, wb[i - 1], wb[i]) ? p - 1 : p++; if (p < tbc) DC3(rn, san, tbc, p); else for (i = 0; i < tbc; i++) san[rn[i]] = i; for (i = 0; i < tbc; i++) if (san[i] < tb) wb[ta++] = san[i] * 3; if (n % 3 == 1) wb[ta++] = n - 1; sort(r, wb, wa, ta, m); for (i = 0; i < tbc; i++) wv[wb[i] = ((san[i]) < tb ? (san[i]) * 3 + 1 : ((san[i]) - tb) * 3 + 2)] = i; for (i = 0, j = 0, p = 0; i < ta && j < tbc; p++) sa[p] = c12(wb[j] % 3, r, wa[i], wb[j]) ? wa[i++] : wb[j++]; for (; i < ta; p++) sa[p] = wa[i++]; for (; j < tbc; p++) sa[p] = wb[j++]; } char s[2000100]; int val[2000100]; int rmq[20][1000100]; int query(int l, int r) { int cnt = r - l + 1, i; for (i = 0; (1 << i) <= cnt; i++) ; i--; return ((rmq[i][l]) < (rmq[i][r - (1 << i) + 1]) ? (rmq[i][l]) : (rmq[i][r - (1 << i) + 1])); } int main() { scanf("%s", s); int len = strlen(s); for (int i = 0; i < len; i++) r[i] = r[i + len] = s[i]; r[len << 1] = 0; DC3(r, sa, len << 1 | 1, 256); int cur = 0; int ca = 0, cb = 0; for (int i = 0; i < len; i++) { if (s[i] == '(') cur++; else cur--; val[i] = cur; } if (cur > 0) ca = 0, cb = cur; else ca = -cur, cb = 0; for (int i = 0; i < len; i++) rmq[0][i] = val[i]; for (int j = 1; (1 << j) <= len; j++) { int k = 1 << (j - 1); for (int i = 0; i + (1 << j) <= len; i++) { rmq[j][i] = ((rmq[j - 1][i]) < (rmq[j - 1][i + k]) ? (rmq[j - 1][i]) : (rmq[j - 1][i + k])); } } int pos; for (int j = 0; j <= len + len; j++) if (sa[j] < len) { int i = sa[j]; int init = val[i] - ((s[i] == '(') ? 1 : -1); int Min = query(i, len - 1) - init; if (Min + ca < 0) continue; if (i >= 1) { init = val[len - 1] - init; Min = query(0, i - 1) + init + ca; if (Min < 0) continue; } pos = i; break; } for (int i = 0; i < ca; i++) putchar('('); for (int i = pos; i < len; i++) putchar(s[i]); for (int i = 0; i < pos; i++) putchar(s[i]); for (int i = 0; i < cb; i++) putchar(')'); }
7
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:200000000") using namespace std; template <typename T> inline T Abs(T x) { return (x >= 0) ? x : -x; } template <typename T> inline T sqr(T x) { return x * x; } template <typename T> inline string toStr(T x) { stringstream st; st << x; string s; st >> s; return s; } template <typename T> inline int bit(T mask, int b) { return (b >= 0 && (mask & (T(1) << b)) != 0) ? 1 : 0; } inline int nextInt() { int x; if (scanf("%d", &x) != 1) throw; return x; } inline long long nextInt64() { long long x; if (scanf("%lld", &x) != 1) throw; return x; } inline double nextDouble() { double x; if (scanf("%lf", &x) != 1) throw; return x; } const int INF = (int)1E9; const long long INF64 = (long long)1E18; const long double EPS = 1E-9; const long double PI = 3.1415926535897932384626433832795; const int MAXN = 3001000; struct state { state() {} state(int a, int b, int i) : a(a), b(b), id(i) {} bool operator<(const state& s) const { if (a != s.a) return a < s.a; if (b != s.b) return b < s.b; return id < s.id; } bool operator!=(const state& s) const { return a != s.a || b != s.b; } int a, b, id; }; int n, b[MAXN], fw[MAXN], p[MAXN]; multiset<int> ms; state v[MAXN]; char s[MAXN]; struct answer { answer(int b, int a, int i) : before(b), after(a), id(i) {} bool operator<(const answer& a) const { if (before + after != a.before + a.after) return before + after < a.before + a.after; if (before + fw[id] != a.before + fw[a.id]) return before + fw[id] > a.before + fw[a.id]; return p[(id + fw[id]) % n] < p[(a.id + fw[a.id]) % n]; } int before, after, id; }; int getms(int v) { int prv = (v == 0) ? 0 : b[v - 1]; return max(0, prv - (*ms.begin())); } int sum(int before, int v) { int prv = (v == 0) ? 0 : b[v - 1]; return b[v + n - 1] - prv + before; } void go(int v) { ms.erase(ms.find(b[v])); ms.insert(b[v + n]); } int main() { cout.setf(ios::fixed); cout.precision(10); double _startTime = clock(); scanf(" %s", s); n = int(strlen(s)); for (int i = 0; i < (int)(n); i++) { s[i + n] = s[i]; } int bal = 0; for (int i = 0; i < (int)(2 * n); i++) { if (s[i] == '(') { p[i] = 0; ++bal; } else { p[i] = 1; --bal; } b[i] = bal; } for (int i = (int)(n)-1; i >= 0; i--) { ms.insert(b[i]); if (s[i] == '(') { fw[i] = fw[i + 1] + 1; } } int k = 1; while (k < n) { for (int i = 0; i < (int)(n); i++) { v[i] = state(p[i], p[(i + k) % n], i); } int cur = 0; sort(v, v + n); for (int i = 0; i < (int)(n); i++) { p[v[i].id] = cur; if (v[i] != v[i + 1]) { ++cur; } } if (cur == n - 1) break; k *= 2; } answer ans(INF, INF, -1); for (int i = 0; i < (int)(n); i++) { int before = getms(i); answer cur(before, sum(before, i), i); ans = min(ans, cur); go(i); }; cout << string(size_t(ans.before), '('); for (int i = 0; i < (int)(n); i++) { cout << s[ans.id + i]; } cout << string(size_t(ans.after), ')') << endl; cerr << "Elapsed " << (clock() - _startTime) / CLOCKS_PER_SEC << " s" << endl; return 0; };
7
CPP
#include <bits/stdc++.h> using namespace std; class SA_IS { vector<int> compress(vector<int>& v) { set<int> alph(v.begin(), v.end()); vector<int> dic(alph.begin(), alph.end()); vector<int> bucket_size(dic.size(), 0); for (int i = 0; i < v.size(); i++) { v[i] = lower_bound(dic.begin(), dic.end(), v[i]) - dic.begin(); bucket_size[v[i]]++; } return bucket_size; } public: static const int L = 0; static const int S = 1; string my_s; vector<int> sa; vector<int> lcp; struct substring { int pos; int size; vector<int>::iterator str; vector<int>::iterator ls; substring() {} substring(const int pos, const int size, const vector<int>::iterator& str, const vector<int>::iterator& ls) { this->pos = pos; this->size = size; this->str = str; this->ls = ls; } bool operator<(const substring& x) const { for (int i = 0; i < min(this->size, x.size); i++) { if (this->str[i] != x.str[i]) { return this->str[i] < x.str[i]; } else if (this->ls[i] != x.ls[i]) { return this->ls[i] == SA_IS::L; } } return this->size < x.size; } bool operator==(const substring& x) const { for (int i = 0; i < min(this->size, x.size); i++) { if (this->str[i] != x.str[i]) { return false; } else if (this->ls[i] != x.ls[i]) { return false; } } return this->size == x.size; } substring operator=(const substring& x) { this->pos = x.pos; this->size = x.size; this->str = x.str; this->ls = x.ls; return *this; } }; vector<int> rec(vector<int> v) { v.push_back(-1); vector<int> bucket_size = compress(v); vector<int> ret(v.size(), -1); vector<vector<int>::iterator> bucket(bucket_size.size()); vector<bool> fixed(v.size(), false); vector<vector<bool>::iterator> bucket_fixed(bucket_size.size()); vector<int> bucket_front(bucket_size.size()); vector<int> bucket_back(bucket_size.size()); vector<bool> used(v.size(), false); { int sum = 0; for (int i = 0; i < bucket_size.size(); i++) { bucket[i] = ret.begin() + sum; bucket_fixed[i] = fixed.begin() + sum; bucket_front[i] = 0; bucket_back[i] = bucket_size[i] - 1; sum += bucket_size[i]; } } vector<int> LS(v.size()); LS.back() = S; for (int i = v.size() - 2; i >= 0; i--) { if (v[i] < v[i + 1]) LS[i] = S; else if (v[i] > v[i + 1]) LS[i] = L; else LS[i] = LS[i + 1]; } vector<int> LMS; for (int i = 1; i < v.size(); i++) { if (LS[i] != S) continue; if (LS[i - 1] == L) LMS.push_back(i); } LMS.push_back(v.size() - 1); vector<pair<substring, int>> LMS_substring; for (int i = 0; i < LMS.size() - 1; i++) { substring sub(LMS[i], LMS[i + 1] - LMS[i] + 1, v.begin() + LMS[i], LS.begin() + LMS[i]); LMS_substring.push_back({sub, LMS_substring.size()}); } if (LMS_substring.size() > 0) { vector<pair<substring, int>> LMS_substring_old = LMS_substring; sort(LMS_substring.begin(), LMS_substring.end()); vector<int> LMS_order(LMS_substring.size()); int cnt = 0; LMS_order[LMS_substring[0].second] = cnt; cnt++; for (int i = 1; i < LMS_substring.size(); i++) { if (LMS_substring[i].first == LMS_substring[i - 1].first) { LMS_order[LMS_substring[i].second] = cnt - 1; } else { LMS_order[LMS_substring[i].second] = cnt; cnt++; } } if (cnt != LMS_substring.size()) { vector<int> new_order = rec(LMS_order); LMS_order = vector<int>(new_order.begin() + 1, new_order.end()); for (int i = 0; i < LMS_substring.size(); i++) { LMS_substring[i].first = LMS_substring_old[LMS_order[i]].first; } } for (int i = LMS_substring.size() - 1; i >= 0; i--) { int c = v[LMS_substring[i].first.pos]; bucket[c][bucket_back[c]] = LMS_substring[i].first.pos; bucket_back[c]--; } } for (int i = 0; i < bucket_size.size(); i++) { for (int j = 0; j < bucket_size[i]; j++) { if (bucket[i][j] - 1 < 0) continue; if (LS[bucket[i][j] - 1] == L) { if (used[bucket[i][j] - 1]) continue; used[bucket[i][j] - 1] = true; int c = v[bucket[i][j] - 1]; bucket[c][bucket_front[c]] = bucket[i][j] - 1; bucket_fixed[c][bucket_front[c]] = true; bucket_front[c]++; } } bucket_back[i] = bucket_size[i] - 1; } for (int i = 0; i < v.size(); i++) { if (fixed[i] == false) { ret[i] = -1; } } for (int i = bucket_size.size() - 1; i >= 0; i--) { for (int j = bucket_size[i] - 1; j >= 0; j--) { if (bucket[i][j] - 1 < 0) continue; if (LS[bucket[i][j] - 1] == S) { if (used[bucket[i][j] - 1]) continue; used[bucket[i][j] - 1] = true; int c = v[bucket[i][j] - 1]; bucket[c][bucket_back[c]] = bucket[i][j] - 1; bucket_fixed[c][bucket_back[c]] = true; bucket_back[c]--; } } } ret[0] = ret.size() - 1; return ret; } vector<int> rec(string& s) { vector<int> v(s.begin(), s.end()); return rec(v); } void constract_lcp() { int n = my_s.size(); lcp.resize(n + 1); vector<int> rank(n + 1); for (int i = 0; i <= n; i++) rank[sa[i]] = i; int h = 0; lcp[0] = 0; for (int i = 0; i < n; i++) { int j = sa[rank[i] - 1]; if (h > 0) h--; for (; j + h < n && i + h < n; h++) { if (my_s[j + h] != my_s[i + h]) break; } lcp[rank[i] - 1] = h; } } SA_IS(string s) { my_s = s; sa = rec(s); } void dbg_print() { for (int i = 0; i <= my_s.size(); i++) { string p(my_s.begin() + sa[i], my_s.end()); cerr << p << " " << sa[i] << endl; } } }; class SegmentTreeMIN { int n; vector<int> T; int INF; public: SegmentTreeMIN(int size) { INF = 1 << 29; n = 1; while (n < size) n <<= 1; T.resize(2 * n - 1); fill(T.begin(), T.end(), INF); } void update(int k, int val) { k += n - 1; T[k] = val; while (k > 0) { k = (k - 1) / 2; T[k] = min(T[k * 2 + 1], T[k * 2 + 2]); } } int RMQ(int a, int b, int k, int l, int r) { if (r <= a || b <= l) return INF; if (a <= l && r <= b) return T[k]; else { int val_left = RMQ(a, b, k * 2 + 1, l, (l + r) / 2); int val_right = RMQ(a, b, k * 2 + 2, (l + r) / 2, r); return min(val_left, val_right); } } int size() { return n; } }; int main() { string s; cin >> s; int n = s.size(); s += s; SA_IS sa(s); vector<int> arr(2 * n); for (int i = 0; i < 2 * n; i++) { if (s[i] == '(') { arr[i] = 1; } else { arr[i] = -1; } if (i > 0) arr[i] += arr[i - 1]; } SegmentTreeMIN seg(2 * n); for (int i = 0; i < 2 * n; i++) { seg.update(i, arr[i]); } int index = -1; int len = 1 << 30; int xx = 0; int yy = 0; for (int i = 0; i < 2 * n; i++) { if (sa.sa[i] > n) continue; int x = min(0, seg.RMQ(sa.sa[i], sa.sa[i] + n, 0, 0, seg.size()) - (sa.sa[i] > 0 ? arr[sa.sa[i] - 1] : 0)); int y = max(0, arr[sa.sa[i] + n - 1] - (sa.sa[i] > 0 ? arr[sa.sa[i] - 1] : 0) + abs(x)); if (len > abs(x) + abs(y) + n) { index = i; len = abs(x) + abs(y) + n; xx = abs(x); yy = abs(y); } } string ans; for (int j = 0; j < xx; j++) { printf("("); } cout << s.substr(sa.sa[index], n); for (int j = 0; j < yy; j++) { printf(")"); } printf("\n"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 10, LG = 21; int sp[LG][maxn], arr[maxn]; int mn[maxn]; vector<int> vec; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(); string s; cin >> s; int n = int((s).size()), SM = 0; for (int i = 0; i < n; i++) { SM += s[i] == '(' ? 1 : -1; } for (int i = 0; i < n; i++) { sp[0][i] = s[i] == ')'; arr[i] = i; } int lg = 0; for (int i = 1; (1 << i) <= n; i++) { lg = i; int pw = 1 << (i - 1); auto f = [&](int a, int b) { if (sp[i - 1][a] != sp[i - 1][b]) return sp[i - 1][a] < sp[i - 1][b]; a += pw, b += pw; if (a >= n) a -= n; if (b >= n) b -= n; return sp[i - 1][a] < sp[i - 1][b]; }; sort(arr, arr + n, f); for (int j = 1; j < n; j++) { sp[i][arr[j]] = sp[i][arr[j - 1]] + (f(arr[j - 1], arr[j]) || f(arr[j], arr[j - 1])); } } for (int i = 0; i < n; i++) { mn[i] = (i == 0 ? 0 : mn[i - 1]) + (s[i] == '(' ? 1 : -1); } for (int i = 1; i < n; i++) { mn[i] = min(mn[i - 1], mn[i]); } int sm = 0, mm = 0, pos = -1; auto cmp = [&](int a, int b) { int lc = 0; for (int i = lg; i >= 0; i--) { if (lc + (1 << i) <= n && sp[i][a] == sp[i][b]) a += (1 << i), b += (1 << i), lc += (1 << i), a %= n, b %= n; } return s[a] < s[b]; }; for (int i = n - 1; i >= 0; i--) { int x = s[i] == '(' ? 1 : -1; mm += x; sm += x; mm = min(mm, x); int bf = (i == 0 ? 0 : mn[i - 1]); if (min(mm, sm + bf) + max(-SM, 0) >= 0) { if (pos == -1) pos = i; else if (cmp(i, pos)) pos = i; } } string ans, ss; for (int i = 0; i < n; i++) { ans += s[(i + pos) % n]; } if (SM < 0) { while (SM < 0) ss += '(', SM++; ans = ss + ans; } else { while (SM > 0) ss += ')', SM--; ans = ans + ss; } return cout << ans << endl, 0; }
7
CPP
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,inline,unroll-loops,fast-math") using namespace std; char a[2000020]; int f[2000020], g[2000020], h[2000020]; deque<int> q; void InitSA(char *s, int n, int m) { static int l[2000020], r[2000020], c[2000020]; int i, p, k; int *x, *y; x = l; y = r; for (i = 0; i < n; i++) { x[i] = s[i + 1]; c[x[i]]++; } for (i = 2; i <= m; i++) c[i] += c[i - 1]; for (i = n - 1; i > -1; i--) f[--c[x[i]]] = i; for (k = 1; k <= n; k <<= 1) { for (i = n - k, p = 0; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (f[i] >= k) y[p++] = f[i] - k; for (i = 1; i <= m; i++) c[i] = 0; for (i = 0; i < n; i++) c[x[i]]++; for (i = 2; i <= m; i++) c[i] += c[i - 1]; for (i = n - 1; i > -1; i--) f[--c[x[y[i]]]] = y[i]; swap(x, y); for (i = x[f[0]] = m = 1; i < n; i++) x[f[i]] = y[f[i]] == y[f[i - 1]] && y[f[i] + k] == y[f[i - 1] + k] ? m : ++m; if (m >= n) break; } return; } int main(void) { int n; int i; scanf("%s", a + 1); n = strlen(a + 1); for (i = 1; i <= n; i++) a[i + n] = a[i]; InitSA(a, n * 2, ')'); for (i = 1; i <= n * 2; i++) { g[i] = g[i - 1] + (a[i] == '(' ? 1 : -1); for (; !q.empty() && i - q.front() > n; q.pop_front()) ; for (; !q.empty() && g[q.back()] > g[i]; q.pop_back()) ; q.push_back(i); if (i >= n) h[i - n + 1] = g[q.front()]; } if (g[n] < 0) for (i = 0; i < -g[n]; i++) printf("("); for (i = 0; i < n * 2; i++) if (f[i] < n && h[f[i] + 1] - g[f[i]] >= min(g[n], 0)) break; a[f[i] + 1 + n] = 0; printf("%s", a + f[i] + 1); if (g[n] > 0) for (i = 0; i < g[n]; i++) printf(")"); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 2E6 + 10; const int BASE = 7; const int MOD = 1E9 + 7; char S[MAXN]; int N; int pref[MAXN]; int mp[MAXN]; long long H[MAXN]; long long P[MAXN]; long long gethsh(int lft, int rgt) { return (H[rgt] - H[lft] * P[rgt - lft] % MOD + MOD) % MOD; } bool equals(int a, int b, int len) { return gethsh(a, a + len) == gethsh(b, b + len); } bool comp(int a, int b) { int lo = 0, hi = N + 1; while (hi - lo > 1) { int mid = (lo + hi) / 2; if (equals(a, b, mid)) { lo = mid; } else { hi = mid; } } return S[a + lo] < S[b + lo]; } void init_hsh() { H[0] = 0; for (int i = 0; i < N; ++i) { H[i + 1] = (BASE * H[i] + S[i]) % MOD; } P[0] = 1; for (int i = 0; i < MAXN - 1; ++i) { P[i + 1] = BASE * P[i] % MOD; } } void pop(deque<pair<int, int> >& dq, int idx) { while (!dq.empty() && dq.front().first < idx) { dq.pop_front(); } } void push(deque<pair<int, int> >& dq, pair<int, int> p) { while (!dq.empty() && dq.back().second > p.second) { dq.pop_back(); } dq.push_back(p); } int main() { if (fopen("input.txt", "r")) { freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); } scanf("%s", S); N = (int)(strlen(S)); memcpy(S + N, S, N); N += N; init_hsh(); for (int i = 0; i < N; ++i) { pref[i + 1] = pref[i] + (S[i] == '(' ? 1 : -1); } N /= 2; deque<pair<int, int> > dq; for (int i = 0; i < N * 2; ++i) { pop(dq, i - N + 1); push(dq, pair<int, int>(i, pref[i + 1])); if (i >= N - 1) { mp[i - N + 1] = dq.front().second - pref[i - N + 1]; } } int best = -1; for (int i = 0; i < N; ++i) { if (mp[i] >= min(pref[N], 0) && (best == -1 || comp(i, best))) { best = i; } } for (int i = 0; i < -pref[N]; ++i) { printf("("); } for (int i = 0; i < N; ++i) { printf("%c", S[best + i]); } for (int i = 0; i < pref[N]; ++i) { printf(")"); } puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> const int INF = 1e9; const long long lINF = 1e18; const double EPS = 1e-12; using namespace std; const int N = 1e6 + 100; char s[N]; int p[N], c[N], last[N]; int pn[N], cn[N]; int n, balance[N], mnl[N], mnr[N]; int main() { scanf("%s", s); n = strlen(s); for (int i = 0; i < n; i++) { last[s[i] - 'a' + 1]++; } for (int i = 2; i <= 26; i++) { last[i] += last[i - 1]; } for (int i = 0; i < n; i++) { c[i] = last[s[i] - 'a']; } for (int i = 0; i < n; i++) { p[last[s[i] - 'a']++] = i; } for (int l = 1; l < n; l <<= 1) { for (int i = 0; i < n; i++) last[i] = i; for (int i = 0; i < n; i++) pn[i] = (p[i] - l + n) % n; for (int i = 0; i < n; i++) p[last[c[pn[i]]]++] = pn[i]; cn[p[0]] = 0; int nlast = 0; for (int i = 1; i < n; i++) { int mid1 = (p[i] + l) % n, mid2 = (p[i - 1] + l) % n; if (c[p[i]] > c[p[i - 1]] || c[mid1] > c[mid2]) nlast = i; cn[p[i]] = nlast; } memcpy(c, cn, n * sizeof(n)); } mnl[0] = INF; for (int i = 0; i < n; i++) { if (s[i] == '(') { balance[i + 1] = balance[i] + 1; } else { balance[i + 1] = balance[i] - 1; } mnl[i + 1] = min(balance[i + 1], mnl[i]); } mnr[n - 1] = balance[n]; for (int i = n - 2; i >= 0; i--) { mnr[i] = min(mnr[i + 1], balance[i + 1]); } int ans = INF, ansi = 0, good = min(0, balance[n]); for (int i = 0; i < n; i++) { if (mnl[i] + balance[n] - balance[i] >= good && mnr[i] - balance[i] >= good) { if (ans > c[i]) { ans = c[i]; ansi = i; } } } for (int i = 0; i < -balance[n]; i++) { putchar('('); } for (int i = ansi; i < ansi + n; i++) { putchar(s[i % n]); } for (int i = 0; i < balance[n]; i++) { putchar(')'); } return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2111111; char buf[maxn]; int sum[maxn]; bool ok[maxn]; int order[maxn]; template <typename T> void debug(T a[], int n) { for (int i = 1; i <= n; ++i) { cout << setw(3) << a[i]; } puts(""); } void fix(int& i, int n) { while (!ok[i] && i <= n) { ++i; } } int run(char s[], int m) { int n = m >> 1; int i = 1, j = 2, k = 0; fix(i, n); j = i + 1; fix(j, n); while (j <= n && i <= n) { for (k = 0; k < n; ++k) { if (s[i + k] ^ s[j + k]) { break; } } if (s[i + k] > s[j + k]) { i += k + 1; fix(i, n); } else { j += k + 1; fix(j, n); } if (j == i) { ++j; fix(j, n); } } return std::min(i, j); } int main() { for (int i = 1; i < 100; ++i) { order[i] = i; } scanf("%s", buf + 1); int n = std::strlen(buf + 1); int A, B; A = B = 0; for (int i = 1; i <= n; ++i) { buf[i + n] = buf[i]; if (buf[i] == '(') { ++A; } else { ++B; } } int m = n << 1; for (int i = 1; i <= m; ++i) { if (buf[i] == '(') { sum[i] = 1; } else { sum[i] = -1; } sum[i] += sum[i - 1]; } static int q[maxn]; int front, rear; front = rear = 0; static int min[maxn]; int add = 0; if (A < B) { add = B - A; } for (int i = 1; i <= m; ++i) { if (front < rear && q[front] + n <= i) { ++front; } while (front < rear && sum[q[rear - 1]] >= sum[i]) { --rear; } q[rear++] = i; min[i] = sum[q[front]]; } for (int i = 1; i <= n; ++i) { if (add + min[i + n - 1] >= sum[i - 1]) { ok[i] = true; } } int index = run(buf, m); auto print = [](char ch, int n) { while (n--) { putchar(ch); } }; if (A < B) { print('(', B - A); } for (int i = index; i < index + n; ++i) { putchar(buf[i]); } if (B < A) { print(')', A - B); } puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; bool debug; const int inf = 1e9 + 5; const long long INF = (long long)inf * inf; const int nax = 1e6 + 5; const int D = 2; const long long MM = 1000 * 1000 * 1000; const long long m[5] = {MM + 7, MM + 9, MM + 21, MM + 33, 333333361LL}; char sl[nax]; long long preh[nax][D]; int n; long long potega[nax][D]; long long h(pair<int, int> a, int j) { long long x = preh[a.second][j]; if (a.first) x -= preh[a.first - 1][j]; if (x < 0) x += m[j]; x = (x * potega[n - a.first][j]) % m[j]; return x; } bool rowne(pair<int, int> a, pair<int, int> b) { for (int j = 0; j <= (D)-1; ++j) if (h(a, j) != h(b, j)) return false; return true; } int porow(pair<int, int> a, pair<int, int> b) { assert(a.second - a.first == b.second - b.first); if (a.first > a.second) return true; if (rowne(a, b)) return 1; int low = 0, high = a.second - a.first; while (low != high) { int med = (low + high) / 2; if (rowne(make_pair(a.first, a.first + med), make_pair(b.first, b.first + med))) low = med + 1; else high = med; } if (sl[a.first + low] == '(') return 0; return 2; } int pref[nax]; int LICZ; const int pot = 1024 * 1024; int tr[2 * pot]; int mi(int a, int b) { a += pot; b += pot; int ku = min(tr[a], tr[b]); while (a < b - 1) { ku = min(ku, tr[a + 1]); ku = min(ku, tr[b - 1]); a /= 2; b /= 2; } return ku; } bool ok_podzial_szybkie(int i) { int s1 = pref[i]; int s2 = LICZ - pref[i]; int k = 0; if (LICZ < 0) k = -LICZ; if (i + 1 <= n - 1 && k + mi(i + 1, n - 1) - s1 < 0) return false; if (0 <= i && k + s2 + mi(0, i) < 0) return false; return true; } bool ok_podzial(int i) { int teraz = 0; if (LICZ < 0) teraz = -LICZ; for (int j = i + 1; j <= n - 1; ++j) { if (sl[j] == '(') ++teraz; else --teraz; if (teraz < 0) return false; } for (int j = 0; j <= i; ++j) { if (sl[j] == '(') ++teraz; else --teraz; if (teraz < 0) return false; } return true; } int best = -1; bool jebaj(int i) { if (best == -1) return true; int kon = best + 1 + (n - 1 - (i + 1)); int pom = porow(make_pair(best + 1, kon), make_pair(i + 1, n - 1)); if (pom == 0) return false; if (pom == 2) return true; int kon2 = n - 1 - (kon + 1); pom = porow(make_pair(kon + 1, n - 1), make_pair(0, kon2)); if (pom == 0) return false; if (pom == 2) return true; pom = porow(make_pair(0, best), make_pair(kon2 + 1, i)); if (pom == 0) return false; return true; } int main(int argc, char *argv[]) { debug = argc > 1; scanf("%s", sl); n = strlen(sl); for (int i = 0; i <= (n)-1; ++i) { if (i) pref[i] = pref[i - 1]; if (sl[i] == '(') pref[i]++; else pref[i]--; } for (int i = 0; i <= (2 * pot) - 1; ++i) tr[i] = inf; for (int i = 0; i <= (n)-1; ++i) tr[pot + i] = pref[i]; for (int i = pot - 1; i >= 1; --i) tr[i] = min(tr[2 * i], tr[2 * i + 1]); LICZ = 0; for (int i = 0; i <= (n)-1; ++i) { if (sl[i] == '(') ++LICZ; else --LICZ; } for (int j = 0; j <= (D)-1; ++j) { potega[0][j] = 1; for (int i = 1; i <= n; ++i) potega[i][j] = ((j == 2 ? 3 : 2) * potega[i - 1][j]) % m[j]; } for (int j = 0; j <= (D)-1; ++j) for (int i = 0; i <= (n)-1; ++i) { int teraz = int(sl[i] == '('); preh[i][j] = ((i ? preh[i - 1][j] : 0LL) + teraz * potega[i][j]) % m[j]; } for (int i = 0; i <= (n)-1; ++i) if (ok_podzial_szybkie(i)) if (jebaj(i)) best = i; assert(best != -1); if (LICZ < 0) for (int _ = 0; _ <= (-LICZ) - 1; ++_) printf("("); for (int j = best + 1; j <= n - 1; ++j) printf("%c", sl[j]); for (int j = 0; j <= best; ++j) printf("%c", sl[j]); if (LICZ > 0) for (int _ = 0; _ <= (LICZ)-1; ++_) printf(")"); puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; vector<int> scs(const string& s) { int n = s.size(); vector<int> p(n), c(s.begin(), s.end()); vector<vector<int>> g(max(n, 256)); for (int i = 0; i < n; i++) g[c[i]].push_back(i); int b = 0; for (auto& gr : g) { for (int x : gr) p[b++] = x; gr.clear(); } for (int h = 1; h < n; h <<= 1) { vector<int> p2(n), c2(n); for (int j : p) { int jp = (j + n - h) % n; g[c[jp]].push_back(jp); } b = 0; for (auto& gr : g) { for (int x : gr) p2[b++] = x; gr.clear(); } b = 0; c2[p2[0]] = 0; for (int i = 1; i < n; i++) { int x = p2[i]; int y = p2[i - 1]; if (c[x] == c[y] && c[(x + h) % n] == c[(y + h) % n]) c2[x] = b; else c2[x] = ++b; } swap(c, c2); swap(p, p2); } return p; } struct stvar { int a, b; stvar(int x = 0) : a(x), b(min(0, x)) {} stvar(int p, int q) : a(p), b(q) {} stvar operator+(const stvar& o) const { return stvar(a + o.a, min(b, a + o.b)); } }; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cerr.tie(nullptr); string s; cin >> s; int n = s.size(); vector<int> p = scs(s); vector<stvar> pref(n + 1), suff(n + 1); for (int i = 0; i < n; i++) pref[i + 1] = pref[i] + stvar(s[i] == '(' ? 1 : -1); for (int i = n - 1; i >= 0; i--) suff[i] = stvar(s[i] == '(' ? 1 : -1) + suff[i + 1]; for (int j : p) { auto t = suff[j] + pref[j]; if (t.a < 0) { if (t.a == t.b) { cout << string(-t.a, '(') << s.substr(j) << s.substr(0, j) << '\n'; return 0; } } else { if (t.b == 0) { cout << s.substr(j) << s.substr(0, j) << string(t.a, ')') << '\n'; return 0; } } } }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 2000005; const int MOD = 100000009; const int B = 31337; int n; int off = 1; int lo, hi; char S[N]; pair<int, int> T[4 * N]; long long H[N]; long long PW[N]; void load() { scanf("%s", S); n = strlen(S); while (off < 2 * n) off <<= 1; for (int i = n; i < 2 * n; i++) S[i] = S[i - n]; H[0] = S[0]; for (int i = 1; i < 2 * n; i++) H[i] = H[i - 1] * B + S[i], H[i] %= MOD; PW[0] = 1; for (int i = 1; i < N; i++) PW[i] = PW[i - 1] * B, PW[i] %= MOD; } long long get(int first, int second) { if (!first) return H[second]; return (H[second] - (H[first - 1] * PW[second - first + 1] % MOD) + MOD) % MOD; } int lcp(int first, int second) { int low = 0, high = 2 * n - max(first, second) - 1, middle; while (low <= high) { middle = (low + high) / 2; if (get(first, first + middle) != get(second, second + middle)) high = middle - 1; else low = middle + 1; } return S[first + low] < S[second + low]; } pair<int, int> merge(pair<int, int> A, pair<int, int> B) { pair<int, int> C; int brackets = min(A.first, B.second); C.first = A.first + B.first - brackets; C.second = A.second + B.second - brackets; return C; } pair<int, int> query(int a, int b, int node) { if (a > hi || b < lo) return make_pair(0, 0); if (a >= lo && b <= hi) return T[node]; return merge(query(a, (a + b) / 2, node * 2), query((a + b) / 2 + 1, b, node * 2 + 1)); } void solve() { for (int i = 0; i < 2 * n; i++) { if (S[i] == '(') T[i + off].first++; else T[i + off].second++; } for (int i = off - 1; i >= 1; i--) { T[i] = merge(T[i * 2], T[i * 2 + 1]); } int sol = (1 << 30); int sol_left = 0; int sol_right = 0; int idx = 0; for (int i = 0; i < n; i++) { lo = i, hi = i + n - 1; pair<int, int> AA = query(0, off - 1, 1); int curr = AA.first + AA.second; if (curr < sol) { sol = curr; sol_left = AA.first; sol_right = AA.second; idx = i; } else if (curr == sol && lcp(i, idx)) { sol_left = AA.first; sol_right = AA.second; idx = i; } } for (int i = 0; i < sol_right; i++) printf("("); for (int i = idx; i < idx + n; i++) printf("%c", S[i]); for (int i = 0; i < sol_left; i++) printf(")"); printf("\n"); } int main(void) { load(); solve(); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; class data { public: int op, cl, x, y; } a[2000005]; int n; char s[4000005]; int arr[4000005]; int kd[8000000]; int art[8000000]; int update(int root, int bas, int son, int x, int y, int val) { if (son < x or y < bas) return kd[root]; if (x <= bas and son <= y) { art[root] += val; return kd[root] += val; } return kd[root] = min(update(root * 2, bas, (bas + son) / 2, x, y, val), update(root * 2 + 1, (bas + son) / 2 + 1, son, x, y, val)) + art[root]; } int query(int root, int bas, int son, int x, int y) { if (son < x or y < bas) return 1000000007LL; if (x <= bas and son <= y) return kd[root]; return min(query(root * 2, bas, (bas + son) / 2, x, y), query(root * 2 + 1, (bas + son) / 2 + 1, son, x, y)) + art[root]; } long long int h[4000005], pows[4000005] = {1}, OP[4000005], CL[4000005]; long long int f(int x, int y) { return (h[y] - h[x - 1] * pows[y - x + 1] + 1000000007LL * 1000000007LL) % 1000000007LL; } long long int giveHash(data A, int x) { if (x <= A.op) return OP[x]; if (x <= A.op + n) return (OP[A.op] * pows[x - A.op] + f(A.x, A.x + x - A.op - 1)) % 1000000007LL; return (OP[A.op] * pows[x - A.op] + f(A.x, A.y) * pows[x - A.op - n] + CL[x - A.op - n]) % 1000000007LL; } char giveChar(data A, int x) { if (x <= A.op) return '('; if (x <= A.op + n) return s[A.x + x - A.op - 1]; return ')'; } int lcp(data A, data B) { int bas = 0, son = min(A.op + n + A.cl, B.op + n + B.cl), orta; while (bas < son) { orta = (bas + son) / 2 + 1; if (giveHash(A, orta) == giveHash(B, orta)) bas = orta; else son = orta - 1; } return bas; } bool cmp(data A, data B) { int u1, u2; u1 = A.op + n + A.cl; u2 = B.op + n + B.cl; if (u1 != u2) return u1 < u2; int l = lcp(A, B); if (l == u1) return 1; return giveChar(A, l + 1) == '('; } int main() { scanf("%s", s + 1); n = strlen(s + 1); int R = 0; for (long long int i = 1; i <= n; i++) { s[i + n] = s[i]; R += arr[i] = arr[i + n] = (s[i] == '(' ? 1 : -1); } for (long long int i = n + 1; i <= 2 * n; i++) update(1, 1, 2 * n, i, 2 * n, arr[i]); for (long long int i = n; i >= 1; i--) { int mini = query(1, 1, 2 * n, i + 1, i + n); a[i].op = max(0, -mini); a[i].cl = R + a[i].op; a[i].x = i + 1; a[i].y = i + n; update(1, 1, 2 * n, i, i + n - 1, arr[i]); } for (long long int i = 1; i <= 4000001; i++) h[i] = (h[i - 1] * 9973 + s[i]) % 1000000007LL, pows[i] = (pows[i - 1] * 9973) % 1000000007LL, OP[i] = (OP[i - 1] * 9973 + '(') % 1000000007LL, CL[i] = (CL[i - 1] * 9973 + ')') % 1000000007LL; data res = a[1]; for (long long int i = 2; i <= n; i++) if (cmp(a[i], res)) res = a[i]; string result; for (long long int i = 1; i <= res.op; i++) result += '('; for (long long int i = res.x; i <= res.y; i++) result += s[i]; for (long long int i = 1; i <= res.cl; i++) result += ')'; if (s[1] == '(' and s[4] == '(' and s[6] == '(' and s[2] == ')' and s[3] == ')' and n >= 100000) { } printf("%s\n", result.c_str()); }
7
CPP
#include <bits/stdc++.h> using namespace std; bool fast_greater(const string& s, const vector<long long>& h, const vector<long long>& p, int i1, int i2, int n) { if (s[i1] != s[i2]) return s[i1] > s[i2]; int lo{0}; int up{n - 1}; while (up - lo > 1) { int mid{(lo + up) / 2}; if ((h[i1 + mid] - h[i1] * p[mid] % 1234567890 + 1234567890) % 1234567890 == (h[i2 + mid] - h[i2] * p[mid] % 1234567890 + 1234567890) % 1234567890) lo = mid; else up = mid; } if ((h[i1 + up] - h[i1] * p[up] % 1234567890 + 1234567890) % 1234567890 == (h[i2 + up] - h[i2] * p[up] % 1234567890 + 1234567890) % 1234567890) return s[i1 + up + 1] > s[i2 + up + 1]; else return s[i1 + lo + 1] > s[i2 + lo + 1]; } int main() { string s; cin >> s; int n = s.size(); vector<int> minPre(n), minSuf(n), bal(n); transform((s).begin(), (s).end(), bal.begin(), [](char ch) { return ch == '(' ? 1 : -1; }); partial_sum((bal).begin(), (bal).end(), bal.begin()); partial_sum((bal).begin(), (bal).end(), minPre.begin(), [](int x, int y) { return x < y ? x : y; }); partial_sum((bal).rbegin(), (bal).rend(), minSuf.rbegin(), [](int x, int y) { return x < y ? x : y; }); s += s; vector<long long> h(2 * n); vector<long long> p(2 * n); h[0] = 0; p[0] = 1; for (int i = 1; i < 2 * n; ++i) { h[i] = (h[i - 1] * 1000007 + s[i]) % 1234567890; p[i] = p[i - 1] * 1000007 % 1234567890; } int I{-1}; int totBal{bal[n - 1]}; for (int i = 0; i < n; ++i) { int minRot{i == 0 ? minSuf[0] : min(minSuf[i] - bal[i - 1], minPre[i - 1] + totBal - bal[i - 1])}; if (totBal >= 0 && minRot >= 0 || totBal < 0 && minRot - totBal >= 0) if (I == -1 || fast_greater(s, h, p, I, i, n)) I = i; } string ans = (totBal < 0 ? string(-totBal, '(') : string()) + string(s.begin() + I, s.begin() + I + n) + (totBal > 0 ? string(totBal, ')') : string()); cout << ans << endl; }
7
CPP
#include <bits/stdc++.h> using namespace std; bool debug; const int inf = 1e9 + 5; const long long INF = (long long)inf * inf; const int nax = 1e6 + 5; const int D = 1; const long long MM = 1000 * 1000 * 1000; const long long m[5] = {MM + 7, MM + 9, MM + 21, MM + 33, 333333361LL}; char sl[nax]; long long preh[nax][D]; int n; long long potega[nax][D]; long long h(pair<int, int> a, int j) { long long x = preh[a.second][j]; if (a.first) x -= preh[a.first - 1][j]; if (x < 0) x += m[j]; x = (x * potega[n - a.first][j]) % m[j]; return x; } bool rowne(pair<int, int> a, pair<int, int> b) { for (int j = 0; j <= (D)-1; ++j) if (h(a, j) != h(b, j)) return false; return true; } int porow(pair<int, int> a, pair<int, int> b) { assert(a.second - a.first == b.second - b.first); if (a.first > a.second) return true; if (rowne(a, b)) return 1; int low = 0, high = a.second - a.first; while (low != high) { int med = (low + high) / 2; if (rowne(make_pair(a.first, a.first + med), make_pair(b.first, b.first + med))) low = med + 1; else high = med; } if (sl[a.first + low] == '(') return 0; return 2; } int pref[nax]; int LICZ; const int pot = 1024 * 1024; int tr[2 * pot]; int mi(int a, int b) { a += pot; b += pot; int ku = min(tr[a], tr[b]); while (a < b - 1) { ku = min(ku, tr[a + 1]); ku = min(ku, tr[b - 1]); a /= 2; b /= 2; } return ku; } bool ok_podzial_szybkie(int i) { int s1 = pref[i]; int s2 = LICZ - pref[i]; int k = 0; if (LICZ < 0) k = -LICZ; if (i + 1 <= n - 1 && k + mi(i + 1, n - 1) - s1 < 0) return false; if (0 <= i && k + s2 + mi(0, i) < 0) return false; return true; } bool ok_podzial(int i) { int teraz = 0; if (LICZ < 0) teraz = -LICZ; for (int j = i + 1; j <= n - 1; ++j) { if (sl[j] == '(') ++teraz; else --teraz; if (teraz < 0) return false; } for (int j = 0; j <= i; ++j) { if (sl[j] == '(') ++teraz; else --teraz; if (teraz < 0) return false; } return true; } int best = -1; bool jebaj(int i) { if (best == -1) return true; int kon = best + 1 + (n - 1 - (i + 1)); int pom = porow(make_pair(best + 1, kon), make_pair(i + 1, n - 1)); if (pom == 0) return false; if (pom == 2) return true; int kon2 = n - 1 - (kon + 1); pom = porow(make_pair(kon + 1, n - 1), make_pair(0, kon2)); if (pom == 0) return false; if (pom == 2) return true; pom = porow(make_pair(0, best), make_pair(kon2 + 1, i)); if (pom == 0) return false; return true; } int main(int argc, char *argv[]) { debug = argc > 1; scanf("%s", sl); n = strlen(sl); for (int i = 0; i <= (n)-1; ++i) { if (i) pref[i] = pref[i - 1]; if (sl[i] == '(') pref[i]++; else pref[i]--; } for (int i = 0; i <= (2 * pot) - 1; ++i) tr[i] = inf; for (int i = 0; i <= (n)-1; ++i) tr[pot + i] = pref[i]; for (int i = pot - 1; i >= 1; --i) tr[i] = min(tr[2 * i], tr[2 * i + 1]); LICZ = 0; for (int i = 0; i <= (n)-1; ++i) { if (sl[i] == '(') ++LICZ; else --LICZ; } for (int j = 0; j <= (D)-1; ++j) { potega[0][j] = 1; for (int i = 1; i <= n; ++i) potega[i][j] = ((j == 2 ? 3 : 2) * potega[i - 1][j]) % m[j]; } for (int j = 0; j <= (D)-1; ++j) for (int i = 0; i <= (n)-1; ++i) { int teraz = int(sl[i] == '('); preh[i][j] = ((i ? preh[i - 1][j] : 0LL) + teraz * potega[i][j]) % m[j]; } for (int i = 0; i <= (n)-1; ++i) if (ok_podzial_szybkie(i)) if (jebaj(i)) best = i; assert(best != -1); if (LICZ < 0) for (int _ = 0; _ <= (-LICZ) - 1; ++_) printf("("); for (int j = best + 1; j <= n - 1; ++j) printf("%c", sl[j]); for (int j = 0; j <= best; ++j) printf("%c", sl[j]); if (LICZ > 0) for (int _ = 0; _ <= (LICZ)-1; ++_) printf(")"); puts(""); return 0; }
7
CPP
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,no-stack-protector") #pragma GCC target( \ "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native") #pragma GCC optimize("unroll-loops") using namespace std; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); struct suff_arr { vector<int> p, c, np, nc, h; string s; int n; suff_arr(string &s) { this->s = s; this->n = s.size(); build(); } int mode1(int a, int k) { return (a + (1 << (k - 1))) % n; } int mode2(int a, int k) { return (a - (1 << (k - 1)) + n) % n; } bool prov(int i, int j, int k) { return c[i] != c[j] || c[mode1(i, k)] != c[mode1(j, k)]; } void build() { p.resize(n), c = nc = np = h = p; vector<pair<char, int>> in; for (int i = 0; i < s.size(); i++) in.push_back({s[i], i}); sort(in.begin(), in.end()); for (int i = 0; i < in.size(); i++) p[i] = in[i].second; int g = h[0] = c[p[0]] = 0, k = 1; for (int i = 1; i < n; i++) { if (in[i].first != in[i - 1].first) g++, h[g] = i; c[p[i]] = g; } while ((1 << (k - 1)) < n) { for (int i = 0; i < n; i++) { int v = mode2(p[i], k); np[h[c[v]]++] = v; } g = h[0] = nc[np[0]] = 0; for (int i = 1; i < n; i++) { if (prov(np[i], np[i - 1], k)) g++, h[g] = i; nc[np[i]] = g; } c = nc, p = np, k++; if (g == n) break; } } }; struct que { stack<pair<int, int>> s1, s2; void add(int x) { int ane = 1e9; if (s1.size()) ane = min(ane, s1.top().second); s1.push({x, min(ane, x)}); } void res() { while (s1.size()) { int g = s1.top().first; s1.pop(); int ane = 1e9; if (s2.size()) ane = min(ane, s2.top().second); s2.push({g, min(ane, g)}); } } int mi() { int ane1 = 1e9, ane2 = 1e9; if (s1.size()) ane1 = min(ane1, s1.top().second); if (s2.size()) ane2 = min(ane2, s2.top().second); return min(ane1, ane2); } int gy() { if (!s2.size()) res(); int x = s2.top().first; return x; } int del() { if (!s2.size()) res(); int x = s2.top().first; s2.pop(); return x; } }; const int maxn = 1e6 + 113; bool used[maxn]; signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.setf(ios::fixed); cout.precision(0); string s; cin >> s; int yt = s.size(); int b1 = 0, b2 = 0; int de = 0, su = 0, lasty = 0; que mu; for (int i = 0; i < s.size(); i++) { if (s[i] == '(') { b1++; su++; } else { b2++; su--; } mu.add(su); lasty = su; } int vs = max(b2 - b1, 0); for (int i = 0; i < s.size(); i++) { int u = mu.mi(); if (u + de >= -vs) used[i] = 1; if (s[i] == '(') de--; else de++; mu.del(); mu.add(lasty - de); } suff_arr mg(s); int pos; for (int i = 0; i < s.size(); i++) if (used[mg.p[i]]) { pos = mg.p[i]; break; } string h; for (int i = pos; i < s.size(); i++) h.push_back(s[i]); for (int i = 0; i < pos; i++) h.push_back(s[i]); while (b1 < b2) { cout << "("; b1++; } cout << h; while (b1 > b2) { cout << ")"; b2++; } }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1000000; char a[2 * N + 1]; int q[2 * N]; int main() { gets(a); int n = strlen(a), ans = 0, l = 0, r = 0; copy_n(a, n, a + n); for (int i = (0); i < (n); i++) if (a[i] == '(') q[r++] = i, ans++; else r &&r--, ans--; int i = -1; for (int k, jj = 0, j = 0; j < n;) { while (l < r && q[l] < j) l++; for (; jj < j; jj++) if (a[jj] == '(') q[r++] = jj + n; else if (l < r) r--; if (r - l > max(ans, 0)) { j++; continue; } if (i == -1) { i = j++; continue; } for (k = 0; k < n && a[i + k] == a[j + k]; k++) ; if (a[i + k] <= a[j + k]) j += k + 1; else { i += k + 1; if (i < j) i = j++; else j = i + 1; } } for (int j = (0); j < (-ans); j++) putchar('('); i %= n; for (int j = (i); j < (n); j++) putchar(a[j]); for (int j = (0); j < (i); j++) putchar(a[j]); for (int j = (0); j < (ans); j++) putchar(')'); puts(""); }
7
CPP
#include <bits/stdc++.h> using namespace std; const int Mod = 1000000007; class mint { public: int first; mint(long long second = 0) { second %= Mod; first = (int)second; } }; mint operator+(mint a, mint b) { a.first += b.first; if (a.first >= Mod) a.first -= Mod; return a; } mint operator-(mint a, mint b) { a.first -= b.first; if (a.first < 0) a.first += Mod; return a; } mint operator*(mint a, mint b) { return mint((long long)a.first * b.first); } bool operator==(mint a, mint b) { return a.first == b.first; } bool operator!=(mint a, mint b) { return a.first != b.first; } pair<int, int> operator+(pair<int, int> a, pair<int, int> b) { if (a.second < b.first) b.first -= a.second, a.second = 0; else a.second -= b.first, b.first = 0; return {a.first + b.first, a.second + b.second}; } pair<int, int> F(char c) { if (c == '(') return {0, 1}; else return {1, 0}; } string s; int l; pair<int, int> Pref[1000015], Suff[1000015]; mint _H[1000015], *H = _H + 1; mint HP = 101; mint Hpot[1000015]; mint HL[1000015], HR[1000015]; mint Hash(int lo, int hi) { if (lo < 0) return HL[hi - lo + 1]; if (lo > 2000000) return HR[hi - lo + 1]; return H[hi] - H[lo - 1] * Hpot[hi - lo + 1]; } mint Hash(pair<int, int> t) { return Hash(t.first, t.first + t.second - 1); } mint Hash(int t) { return Hash(t, t); } int LCP(int a, int b, int MaxLen) { int lo = 0, hi = MaxLen, mid = (lo + hi + 1) / 2; while (lo != hi) { if (Hash(a, a + mid - 1) == Hash(b, b + mid - 1)) lo = mid; else hi = mid - 1; mid = (lo + hi + 1) / 2; } return lo; } vector<pair<int, int> > Func(int id) { pair<int, int> t = Suff[l - id] + Pref[id]; return {{-2000000, t.first}, {id, l - id}, {0, id}, {3000000, t.second}}; } bool Cmp(int id1, int id2) { if (id2 == -1) return true; vector<pair<int, int> > V1 = Func(id1), V2 = Func(id2); vector<int> Vp = {0}; for (int i = 0, j = V1[0].second; i < 4; ++i, j += V1[i].second) Vp.push_back(j); for (int i = 0, j = V2[0].second; i < 4; ++i, j += V2[i].second) Vp.push_back(j); sort(Vp.begin(), Vp.end()); vector<pair<int, int> > VV1, VV2; int tmp = 0; for (int i = 0, j = 1; i < 4; ++i) { while (j < (int)Vp.size() && Vp[j] <= tmp + V1[i].second) { VV1.push_back({V1[i].first + Vp[j - 1] - tmp, Vp[j] - Vp[j - 1]}); ++j; } tmp += V1[i].second; } tmp = 0; for (int i = 0, j = 1; i < 4; ++i) { while (j < (int)Vp.size() && Vp[j] <= tmp + V2[i].second) { VV2.push_back({V2[i].first + Vp[j - 1] - tmp, Vp[j] - Vp[j - 1]}); ++j; } tmp += V2[i].second; } for (int i = (int)(0); i < (int)(Vp.size() - 1); ++i) if (Hash(VV1[i]) != Hash(VV2[i])) { tmp = LCP(VV1[i].first, VV2[i].first, VV1[i].second); return Hash(VV1[i].first + tmp).first < Hash(VV2[i].first + tmp).first; } return false; } int main() { Hpot[0] = 1; for (int i = (int)(1); i < (int)(1000005); ++i) Hpot[i] = Hpot[i - 1] * HP, HL[i] = HL[i - 1] * HP + ')', HR[i] = HR[i - 1] * HP + '('; cin >> s; l = (int)s.size(); for (int i = (int)(0); i < (int)(l); ++i) H[i] = H[i - 1] * HP + s[i]; for (int i = (int)(0); i < (int)(l); ++i) Pref[i + 1] = Pref[i] + F(s[i]); for (int i = (int)(0); i < (int)(l); ++i) Suff[i + 1] = F(s[l - i - 1]) + Suff[i]; int MinLen = l * 2; for (int i = (int)(0); i < (int)(l + 1); ++i) { pair<int, int> t = Suff[l - i] + Pref[i]; MinLen = min(MinLen, l + t.first + t.second); } cerr << "MinLen" << " = " << MinLen << endl; int Best = -1; for (int i = (int)(0); i < (int)(l + 1); ++i) { pair<int, int> t = Suff[l - i] + Pref[i]; if (MinLen != l + t.first + t.second) continue; if (Cmp(i, Best)) Best = i; } pair<int, int> r = Suff[l - Best] + Pref[Best]; for (int i = (int)(0); i < (int)(r.first); ++i) cout << "("; cout << string(s.begin() + Best, s.end()) << string(s.begin(), s.begin() + Best); for (int i = (int)(0); i < (int)(r.second); ++i) cout << ")"; cout << endl; return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2e6 + 5; const int inf = 0x3f3f3f3f; const int mod = 1e9 + 7; struct SAIS { int s[maxn << 1], t[maxn << 1], sa[maxn], rk[maxn], hi[maxn], p[maxn], tax[maxn], cur[maxn]; void inducedSort(int n, int m, int n1, int *s, int *s1, int *t) { for (int i = 0; i < n; ++i) sa[i] = -1; for (int i = 0; i < m; ++i) tax[i] = 0; for (int i = 0; i < n; ++i) ++tax[s[i]]; for (int i = 1; i < m; ++i) tax[i] += tax[i - 1]; for (int i = 0; i < m; ++i) cur[i] = tax[i] - 1; for (int i = n1 - 1; ~i; --i) sa[cur[s[s1[i]]]--] = s1[i]; for (int i = 1; i < m; ++i) cur[i] = tax[i - 1]; for (int i = 0; i < n; ++i) if (sa[i] > 0 && t[sa[i] - 1]) sa[cur[s[sa[i] - 1]]++] = sa[i] - 1; for (int i = 0; i < m; ++i) cur[i] = tax[i] - 1; for (int i = n - 1; ~i; --i) if (sa[i] > 0 && !t[sa[i] - 1]) sa[cur[s[sa[i] - 1]]--] = sa[i] - 1; } void sais(int n, int m, int *s, int *t, int *p) { int n1 = t[n - 1] = 0, ch = rk[0] = -1, *s1 = s + n; for (int i = n - 2; ~i; --i) t[i] = s[i] == s[i + 1] ? t[i + 1] : s[i] > s[i + 1]; for (int i = 1; i < n; ++i) rk[i] = t[i - 1] && !t[i] ? p[n1] = i, n1++ : -1; inducedSort(n, m, n1, s, p, t); for (int i = 0, x, y; i < n; ++i) { if ((x = rk[sa[i]]) == -1) continue; if (ch < 1 || p[x + 1] - p[x] != p[y + 1] - p[y]) ++ch; else for (int j = p[x], k = p[y]; j <= p[x + 1]; ++j, ++k) if ((s[j] << 1 | t[j]) != (s[k] << 1 | t[k])) { ++ch; break; } s1[y = x] = ch; } if (ch + 1 < n1) sais(n1, ch + 1, s1, t + n, p + n1); else for (int i = 0; i < n1; ++i) sa[s1[i]] = i; for (int i = 0; i < n1; ++i) s1[i] = p[sa[i]]; inducedSort(n, m, n1, s, s1, t); } void solve(char *str, int n, int m) { for (int i = 0; i < n; ++i) s[i] = str[i]; s[n++] = 0; sais(n, m, s, t, p); for (int i = 0; i < n; ++i) rk[sa[i]] = i; --n; for (int i = 0, k = hi[0] = 0; i < n; ++i) { int j = sa[rk[i] - 1]; while (s[i + k] == s[j + k]) ++k; if (hi[rk[i]] = k) --k; } for (int i = n; i >= 1; --i) ++sa[i], rk[i] = rk[i - 1]; } } sais; char s[maxn]; int sum[maxn], mn[maxn], que[maxn]; int n, p1, p2; int main() { scanf("%s", s + 1); n = strlen(s + 1); for (int i = 1; i <= n; ++i) s[i + n] = s[i]; int tn = n; n <<= 1; sais.solve(s + 1, n, 256); for (int i = 1; i <= n; ++i) { sum[i] = sum[i - 1] + (s[i] == '(' ? 1 : -1); } p1 = 1, p2 = 0; for (int i = 1; i <= n; ++i) { while (p1 <= p2 && sum[que[p2]] >= sum[i]) --p2; que[++p2] = i; while (i - que[p1] + 1 > tn) ++p1; if (i >= tn) mn[i - tn + 1] = sum[que[p1]] - sum[i - tn]; } int x = inf, y; for (int i = 1; i <= tn; ++i) { mn[i] = mn[i] >= 0 ? 0 : -mn[i]; x = min(x, mn[i]); } int p = 0; y = x + sum[tn]; for (int i = 1; i <= n; ++i) { if (sais.sa[i] > tn) continue; if (mn[sais.sa[i]] == x) { p = sais.sa[i]; break; } } while (x--) putchar('('); s[p + tn] = 0; printf("%s", s + p); while (y--) putchar(')'); return 0; }
7
CPP
#include <bits/stdc++.h> using namespace std; char s[2000100]; int Lb[2000100 << 2], Rb[2000100 << 2]; void build(int x, int L, int R) { if (L == R) { if (s[L] == '(') Rb[x] = 1; else Lb[x] = 1; return; } int mid = L + R >> 1; build((x << 1), L, mid); build((x << 1 | 1), mid + 1, R); if (Rb[(x << 1)] > Lb[(x << 1 | 1)]) { Lb[x] = Lb[(x << 1)]; Rb[x] = Rb[(x << 1 | 1)] + Rb[(x << 1)] - Lb[(x << 1 | 1)]; } else { Lb[x] = Lb[(x << 1)] + Lb[(x << 1 | 1)] - Rb[(x << 1)]; Rb[x] = Rb[(x << 1 | 1)]; } } int lb, rb; int qury(int x, int L, int R, int l, int r) { if (l <= L && R <= r) { lb = lb + max(0, Lb[x] - rb); rb = Rb[x] + max(0, rb - Lb[x]); return lb; } int mid = L + R >> 1, res; if (l <= mid) res = qury((x << 1), L, mid, l, r); if (r > mid) res = qury((x << 1 | 1), mid + 1, R, l, r); return res; } long long sum1[2000100], sum2[2000100]; long long fox1[2000100], fox2[2000100]; long long f_abs(long long a) { return (a % 1000000009 + 1000000009) % 1000000009; } int main() { scanf("%s", s); int zer = 0, one = 0, len = strlen(s), _len = len; int su1 = 0, su2 = 0; for (int i = 0; i < _len; i++) if (s[i] == '(') su1++; else su2++; for (int i = 0; i < _len - 1; i++) s[len++] = s[i]; s[len] = 0; fox1[0] = 1; fox2[0] = 1; for (int i = 0; i < len; i++) { sum1[i + 1] = sum1[i] * 17 + (s[i] == '(' ? 14 : 29741); sum1[i + 1] %= 1000000009; fox1[i + 1] = fox1[i] * 17; fox1[i + 1] %= 1000000009; sum2[i + 1] = sum2[i] * 1031 + (s[i] == '(' ? 13 : 247); sum2[i + 1] %= 1000000009; fox2[i + 1] = fox2[i] * 1031; fox2[i + 1] %= 1000000009; } build(1, 0, len - 1); int ans = 20000000, bj; for (int i = 0; i < _len; i++) { lb = rb = 0; int a = qury(1, 0, len - 1, i, i + _len - 1); if (a < ans) { ans = a; bj = i; } else if (a == ans) { int l = 0, r = _len, mid, as; while (l <= r) { mid = l + r >> 1; if (f_abs(sum1[bj + mid] - sum1[bj] * fox1[mid]) == f_abs(sum1[i + mid] - sum1[i] * fox1[mid])) { if (f_abs(sum2[bj + mid] - sum2[bj] * fox2[mid]) == f_abs(sum2[i + mid] - sum2[i] * fox2[mid])) { as = mid; l = mid + 1; } else r = mid - 1; } else r = mid - 1; } if (as == _len || s[bj + as] < s[i + as]) continue; bj = i; } } string f_ans = ""; for (int i = 0; i < ans; i++) f_ans += '('; for (int i = bj; i < _len; i++) f_ans += s[i]; for (int i = 0; i < bj; i++) f_ans += s[i]; int lef = su1 + ans - su2; for (int i = 0; i < lef; i++) f_ans += ')'; cout << f_ans << endl; return 0; }
7
CPP
#include <bits/stdc++.h> int const N = 2234567; int const X = 33533; long long M1; long long M2; long long const MASK = (1LL << 32) - 1; long long POW1[N], POW2[N]; int s[N]; int bal[N]; struct hash { long long h; int len; }; bool operator==(hash const& a, hash const& b) { return a.len == b.len && a.h == b.h; } hash OPEN[N], CLOSE[N], hs[N]; long long add1(long long h1, long long h2, int len2) { return (h1 * POW1[len2] + h2) % M1; } long long add2(long long h1, long long h2, int len2) { return (h1 * POW2[len2] + h2) % M2; } hash operator+(hash const& a, hash const& b) { return {(add1(a.h >> 32, b.h >> 32, b.len) << 32) | add2(a.h & MASK, b.h & MASK, b.len), a.len + b.len}; } int const TR = 1 << 21; int const INF = 1 << 30; int trmin[TR * 2]; void settree(int x, int y) { x += TR; trmin[x] = y; while (x > 1) { x >>= 1; if (trmin[x * 2] < trmin[x * 2 + 1]) trmin[x] = trmin[x * 2]; else trmin[x] = trmin[x * 2 + 1]; } } int getmin(int left, int right) { --right; left += TR; right += TR; int ret = INF; while (left <= right) { if (left & 1) { if (ret > trmin[left]) ret = trmin[left]; ++left; } if ((right & 1) == 0) { if (ret > trmin[right]) ret = trmin[right]; --right; } left >>= 1; right >>= 1; } return ret; } struct answer { int addOpen; int pos; int addClose; }; int n; int getChar(answer const& f, int id) { if (id < f.addOpen) return '('; id -= f.addOpen; if (id < n) return s[f.pos + id]; id -= n; if (id < f.addClose) return ')'; } hash getHash(int left, int right) { long long h1 = hs[right - 1].h >> 32; long long h2 = hs[right - 1].h & MASK; long long g1 = hs[left - 1].h >> 32; long long g2 = hs[left - 1].h & MASK; h1 -= g1 * POW1[right - left] % M1; h2 -= g2 * POW2[right - left] % M2; if (h1 < 0) h1 += M1; if (h2 < 0) h2 += M2; return {(h1 << 32) | h2, right - left}; } hash getHash(answer const& f, int len) { if (len <= f.addOpen) { return OPEN[len]; } hash z = OPEN[f.addOpen]; len -= f.addOpen; if (len <= n) { return z + getHash(f.pos, f.pos + len); } z = z + getHash(f.pos, f.pos + n); len -= n; if (len <= f.addClose) { return z + CLOSE[len]; } assert(false); } bool operator<(answer const& f, answer const& g) { if (f.addOpen + f.addClose != g.addOpen + g.addClose) return f.addOpen + f.addClose < g.addOpen + g.addClose; int left = 0; int right = f.addOpen + f.addClose + n + 1; while (left < right - 1) { int mid = (left + right) >> 1; if (getHash(f, mid) == getHash(g, mid)) { left = mid; } else { right = mid; } } return getChar(f, left) < getChar(g, left); } std::mt19937 rnd(std::chrono::system_clock::now().time_since_epoch().count()); int const HALFBILLION = 500000000; bool prime(int x) { for (int i = 2; i * i <= x; i++) { if (x % i == 0) return false; } return true; } void gen(long long& M) { M = rnd() % HALFBILLION + HALFBILLION; while (!prime(M)) { ++M; } } int main() { gen(M1); gen(M2); POW1[0] = POW2[0] = 1; OPEN[0] = {0, 0}; CLOSE[0] = {0, 0}; for (int i = 1; i < N; i++) { POW1[i] = POW1[i - 1] * X % M1; POW2[i] = POW2[i - 1] * X % M2; if (i == 1) { OPEN[i] = {(long long)'(', 1}; CLOSE[i] = {(long long)')', 1}; } else { OPEN[i] = OPEN[i - 1] + OPEN[1]; CLOSE[i] = CLOSE[i - 1] + CLOSE[1]; } } int c = getchar(); while (c <= 32) c = getchar(); n = 1; while (c > 32) { s[n++] = c; c = getchar(); } --n; for (int i = 1; i <= n; i++) s[i + n] = s[i]; bal[0] = 0; for (int i = 1; i <= 2 * n; i++) { bal[i] = bal[i - 1] + (s[i] == '(' ? 1 : -1); settree(i, bal[i]); } hs[0] = {0, 0}; for (int i = 1; i <= 2 * n; i++) { hash cur = {(long long)s[i], 1}; hs[i] = hs[i - 1] + cur; } answer ans = {INF / 2, -1, INF / 2}; for (int start = 1; start <= n; start++) { int minB = getmin(start - 1, start + n); int addOpen = bal[start - 1] - minB; int addClose = bal[start + n - 1] - minB; answer cur = {addOpen, start, addClose}; if (cur < ans) ans = cur; } for (int i = 0; i < ans.addOpen; i++) putchar('('); for (int i = 0; i < n; i++) putchar(s[ans.pos + i]); for (int i = 0; i < ans.addClose; i++) putchar(')'); }
7
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1000000 + 5; char str[N << 1]; int a[N << 1]; bool flag[N << 1]; int len; int offset, pos; pair<int, int> que[N << 1]; int p1, p2; int sa[N << 1], rk[N << 1]; void da(char *s, int n, int m) { static int t1[N << 1], t2[N << 1], c[N << 1]; int *x = t1, *y = t2, i, j, k, p = 1; memset(c, 0, sizeof(c[0]) * m); for (i = 0; i < n; i++) c[x[i] = s[i]]++; for (i = 1; i < m; i++) c[i] += c[i - 1]; for (i = n - 1; i >= 0; i--) sa[--c[x[i]]] = i; for (k = 1; p < n; k <<= 1, m = p) { for (p = 0, i = n - k; i < n; i++) y[p++] = i; for (i = 0; i < n; i++) if (sa[i] >= k) y[p++] = sa[i] - k; memset(c, 0, sizeof(c[0]) * m); for (i = 0; i < n; i++) c[x[i]]++; for (i = 1; i < m; i++) c[i] += c[i - 1]; for (i = n - 1; i >= 0; i--) sa[--c[x[y[i]]]] = y[i]; for (swap(x, y), x[sa[0]] = 0, p = i = 1; i < n; i++) x[sa[i]] = y[sa[i]] == y[sa[i - 1]] && y[sa[i] + k] == y[sa[i - 1] + k] ? p - 1 : p++; } } int main() { scanf("%s", str + 1); len = strlen(str + 1); offset = 0; for (int i = 1; i <= len; ++i) offset += (str[i] == '(' ? 1 : -1); memcpy(str + len + 1, str + 1, len + 1); a[0] = 0; for (int i = 1; i <= len << 1; ++i) a[i] = a[i - 1] + (str[i] == '(' ? 1 : -1); p1 = p2 = 0; for (int i = 1; i <= len << 1; ++i) { while (p1 != p2 && que[p2 - 1].first > a[i]) --p2; que[p2++] = pair<int, int>(a[i], i); while (p1 != p2 && i - que[p1].second >= len) ++p1; if (i - len >= 0) { if (que[p1].first - a[i - len] >= offset || que[p1].first - a[i - len] >= 0) flag[i - len + 1] = true; } } da(str + 1, len << 1 | 1, 128); for (int i = 1; i <= len << 1; ++i) { if (sa[i] < len && flag[sa[i] + 1]) { pos = sa[i] + 1; break; } } while (offset < 0) printf("("), ++offset; for (int i = pos; i < pos + len; ++i) printf("%c", str[i]); while (offset > 0) printf(")"), --offset; puts(""); }
7
CPP
#include <bits/stdc++.h> using namespace std; using ll = long long; int n; char s[2000005], t[2000005]; int sa[2000005], rnk[2000005], lcp[2000005], cnt[2000005]; void build(char *s) { int n = strlen(s) + 1, m = 256; int *x = rnk, *y = lcp, *z; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i] = s[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[i]]] = i; for (int j = 1, p = 1; p < n; j <<= 1, m = p) { p = 0; for (int i = n - j; i < n; i++) y[p++] = i; for (int i = 0; i < n; i++) if (sa[i] >= j) y[p++] = sa[i] - j; for (int i = 0; i < m; i++) cnt[i] = 0; for (int i = 0; i < n; i++) cnt[x[i]]++; for (int i = 1; i < m; i++) cnt[i] += cnt[i - 1]; for (int i = n - 1; i >= 0; i--) sa[--cnt[x[y[i]]]] = y[i]; z = x, x = y, y = z; x[sa[0]] = 0, p = 1; for (int i = 1; i < n; i++) { x[sa[i]] = (y[sa[i]] == y[sa[i - 1]] && y[sa[i] + j] == y[sa[i - 1] + j]) ? p - 1 : p++; } } for (int i = 0; i < n; i++) rnk[sa[i]] = i; for (int i = 0, k = 0; i < n - 1; lcp[rnk[i++]] = k) { if (k) k--; for (int j = sa[rnk[i] - 1]; s[i + k] == s[j + k]; k++) ; } } int sum[2000005], emn[2000005], smn[2000005]; int ans, rot, ff, ss, g1, g2; void update(int len, int r, int f, int s) { if (ans > len) { ans = len; rot = r; ff = f, ss = s; } return; } const int inf = 1e9; int main() { scanf("%s", s + 1); n = strlen(s + 1); strcpy(t, s + 1); strcpy(t + n, s + 1); build(t); for (int i = 1; i <= n; i++) { int d = s[i] == '(' ? 1 : -1; if (s[i] == '(') g1++; else g2++; sum[i] = sum[i - 1] + d; } for (int i = 1; i <= n; i++) { smn[i] = sum[i]; if (i > 1) smn[i] = min(smn[i], smn[i - 1]); } for (int i = n; i >= 1; i--) { emn[i] = sum[i]; if (i < n) emn[i] = min(emn[i], emn[i + 1]); } ans = inf; for (int ii = 0; ii <= 2 * n; ii++) { int i = sa[ii]; if (i > n) continue; i++; int d = sum[n] - sum[i - 1]; int mn = min(d + smn[i - 1], emn[i] - sum[i - 1]); int inc = 0; if (mn < 0) inc = -mn; assert(inc + g1 >= g2); update((inc + g1) * 2, i, inc, inc + g1 - g2); } for (int i = 0; i < ff; i++) putchar('('); for (int i = rot; i <= n; i++) putchar(s[i]); for (int i = 1; i < rot; i++) putchar(s[i]); for (int i = 0; i < ss; i++) putchar(')'); return 0; }
7
CPP