Submission #980336

#TimeUsernameProblemLanguageResultExecution timeMemory
980336LOLOLOMatch (CEOI16_match)C++17
100 / 100
37 ms19296 KiB
#include <bits/stdc++.h>
#define ll long long
using namespace std;
 
#define           f     first
#define           s     second
#define           pb    push_back
#define           ep    emplace
#define           eb    emplace_back
#define           lb    lower_bound
#define           ub    upper_bound
#define       all(x)    x.begin(), x.end()
#define      rall(x)    x.rbegin(), x.rend()
#define   uniquev(v)    sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define     mem(f,x)    memset(f , x , sizeof(f))
#define        sz(x)    (int)(x).size()
#define  __lcm(a, b)    (1ll * ((a) / __gcd((a), (b))) * (b))
#define          mxx    *max_element
#define          mnn    *min_element
#define    cntbit(x)    __builtin_popcountll(x)
#define       len(x)    (int)(x.length())
 
const int N = 1e5 + 10;
int n;

bool check(string s) {
    stack <char> st;
    for (int i = 1; i <= n; i++) {
        if (st.empty() || (st.top() != s[i])) {
            st.push(s[i]);
        } else {
            st.pop();
        }
    }

    return st.empty();
}

vector <ll> coor;
vector <int> pos[N];
ll p[N], mod = 1e11 + 7, base = 37;
char tt[N];
int sp[N][30];
string s;

void dnc(int l, int r) {
    if (l >= r)
        return;

    int m = (sp[r][s[l] - 'a']);
    if (s[l] == s[r]) {
        m = r;
    }

    tt[l] = '(';
    tt[m] = ')';
    dnc(l + 1, m - 1);
    dnc(m + 1, r);
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    p[0] = 1;
    for (int i = 1; i < N; i++) {
        p[i] = (p[i - 1] * base) % mod;
    }

    cin >> s;

    s = '0' + s;
    n = len(s) - 1;

    if (check(s) == 0) {
        cout << -1 << '\n';
        return 0;
    }

    stack <char> st;
    ll all = 0;

    coor.pb(all);
    for (int i = 1; i <= n; i++) {
        if (st.empty() || (st.top() != s[i])) {
            st.push(s[i]);
            all = (all + p[sz(st)] * (ll)(st.top() - 'a' + 1));
        } else {
            all = (all - p[sz(st)] * (ll)(st.top() - 'a' + 1));
            st.pop();
        }

        while (all < 0)
            all += mod;

        while (all >= mod)
            all -= mod;

        coor.pb(all);
    }

    uniquev(coor);
    all = 0;
    while (sz(st))
        st.pop();

    for (int i = 1; i <= n; i++) {
        if (st.empty() || (st.top() != s[i])) {
            st.push(s[i]);
            all = (all + p[sz(st)] * (ll)(st.top() - 'a' + 1));
        } else {
            all = (all - p[sz(st)] * (ll)(st.top() - 'a' + 1));
            st.pop();
        }

        while (all < 0)
            all += mod;

        while (all >= mod)
            all -= mod;

        int t = lower_bound(all(coor), all) - coor.begin();
        pos[t].pb(i);
    }

    for (int i = 0; i <= n; i++) {
        vector <int> st(30, 0);
        for (auto x : pos[i]) {
            for (int j = 0; j < 26; j++) {
                sp[x][j] = st[j];
            }
 
            st[s[x] - 'a'] = x;
        }
    }

    dnc(1, n);

    for (int i = 1; i <= n; i++)
        cout << tt[i];

    return 0;
}  
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...