제출 #1136324

#제출 시각아이디문제언어결과실행 시간메모리
1136324steveonalex괄호 문자열 (CEOI16_match)C++20
100 / 100
14 ms18464 KiB
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double cur = rngesus(0, MASK(60) - 1);
    cur /= MASK(60) - 1;
    return l + cur * (r - l);
}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

bool check_validity(string s){
    string st;
    for(char c: s){
        if (st.empty() || st.back() != c) st.push_back(c);
        else st.pop_back();
    }
    return st.empty();
}

void solve(){
    string s; cin >> s;
    if (!check_validity(s)){
        cout << "-1\n";
        return;
    }
    int n = s.size();
    s = string(1, 'z' + 1) + s + string(2, 'z' + 2);

    int nxt[n + 3][28];
    int jump[17][n + 3];
    memset(nxt, -1, sizeof nxt);
    memset(jump, 0, sizeof jump);
    for(int i = 2; i <= n + 2; ++i){
        if (s[i-1] == s[i]) {
            int digit = s[i-2] - 'a';
            jump[0][i] = i - 2;
            nxt[i][digit] = i-2;
            nxt[i][s[i] - 'a'] = i;
            for(int j = 0; j < 28; ++j)
                maximize(nxt[i][j], nxt[i - 2][j]);
        }
        else{
            int idx = nxt[i-1][s[i] - 'a'];
            if (idx == -1) continue;
            int digit = s[idx-1] - 'a';
            jump[0][i] = idx - 1;
            nxt[i][digit] = idx-1;
            nxt[i][s[i] - 'a'] = i;
            for(int j = 0; j < 28; ++j) 
                maximize(nxt[i][j], nxt[idx-1][j]);
        }
    }
    for(int j = 1; j < 17; ++j)
    for(int i = 0; i <= n + 2; ++i) jump[j][i] = jump[j-1][jump[j-1][i]];

    string ans = "";
    string st;
    vector<int> idx_st;
    st.push_back('#');
    idx_st.push_back(n + 2);
    for(int i = 1; i <= n; ++i){
        if (st.back() != s[i]){
            idx_st.push_back(nxt[idx_st.back()][s[i] - 'a'] - 1);
            st.push_back(s[i]);
            ans.push_back('(');
        }
        else{
            int idx = nxt[idx_st.back()][s[i] - 'a'];
            int l = i, r = idx - 1;
            bool check = true;
            if (idx == -1 || l > r) check = false;
            else{
                for(int j = 16; j >= 0; --j) if (jump[j][r] >= l) 
                    r = jump[j][r];
                if (r != l) check = false;
            }
            if (check == false) {
                st.pop_back();
                idx_st.pop_back();
                ans.push_back(')');
            }
            else{
                st.push_back(s[i]);
                idx_st.push_back(idx - 1);
                ans.push_back('(');
            }
        }
        // cout << "Nigger\n";
        // cout << st << "\n";
        // printArr(idx_st);
    }

    cout << ans << "\n";
}

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

    clock_t start = clock();

    solve();

    cerr << "Time elapsed: " << clock() - start << " ms\n";
    return 0;
}
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