Submission #1193827

#TimeUsernameProblemLanguageResultExecution timeMemory
1193827tin_lePalindromic Partitions (CEOI17_palindromic)C++20
60 / 100
412 ms36172 KiB
//████████╗██╗███╗░░██╗  ██╗░░░░░███████╗
//╚══██╔══╝██║████╗░██║  ██║░░░░░██╔════╝
//░░░██║░░░██║██╔██╗██║  ██║░░░░░█████╗░░
//░░░██║░░░██║██║╚████║  ██║░░░░░██╔══╝░░
//░░░██║░░░██║██║░╚███║  ███████╗███████╗
//░░░╚═╝░░░╚═╝╚═╝░░╚══╝  ╚══════╝╚══════╝
//   __________________
//  | ________________ |
//  ||          ____  ||
//  ||   /\    |      ||
//  ||  /__\   |      ||
//  || /    \  |____  ||
//  ||________________||
//  |__________________|
//  \###################\
//   \###################\
//    \        ____       \
//     \_______\___\_______\
// An AC a day keeps the doctor away.

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <bitset>
#include <iomanip>
#include <functional>
#include <numeric>
#include <stack>
#include <array>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define vt vector
#define all(x) begin(x), end(x)
#define allr(x) rbegin(x), rend(x)
#define ub upper_bound
#define lb lower_bound
#define db double
#define ld long db
#define ll long long
#define ull unsigned long long
#define vll vt<ll>  
#define vvll vt<vll>
#define pll pair<ll, ll>    
#define vpll vt<pll>
#define vvpll vt<vpll>
#define vc vt<char> 
#define vvc vt<vc>
#define vi vt<int>
#define vvi vt<vi>
#define vvvi vt<vvi>
#define pii pair<int, int>
#define vpii vt<pii>
#define vs vt<string>
#define vvs vt<vs>
#define vb vt<bool>
#define vvb vt<vb>
#define vvpii vt<vpii>
#define vd vt<db>
#define ar(x) array<int, x>
#define var(x) vt<ar(x)>
#define vvar(x) vt<var(x)>
#define al(x) array<ll, x>
#define vall(x) vt<al(x)>
#define vvall(x) vt<vall(x)>
#define mset(m, v) memset(m, v, sizeof(m))
#define pb push_back
#define ff first
#define ss second
#define sv string_view
#define MP make_pair
#define MT make_tuple
#define rsz resize
#define sum(x) (ll)accumulate(all(x), 0LL)
#define srt(x) sort(all(x))
#define srtR(x) sort(allr(x))
#define srtU(x) sort(all(x)), (x).erase(unique(all(x)), (x).end())
#define SORTED(x) is_sorted(all(x))
#define rev(x) reverse(all(x))
#define MAX(a) *max_element(all(a)) 
#define MIN(a) *min_element(all(a))
#define ROTATE(a, p) rotate(begin(a), begin(a) + p, end(a))
#define i128 __int128

//SGT DEFINE
#define lc i * 2 + 1
#define rc i * 2 + 2
#define lp lc, left, middle
#define rp rc, middle + 1, right
#define entireTree 0, 0, n - 1
#define midPoint left + (right - left) / 2
#define pushDown push(i, left, right)
#define iter int i, int left, int right

#define IOS ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

struct custom {
    static const uint64_t C = 0x9e3779b97f4a7c15; const uint32_t RANDOM = std::chrono::steady_clock::now().time_since_epoch().count();
    size_t operator()(uint64_t x) const { return __builtin_bswap64((x ^ RANDOM) * C); }
    size_t operator()(const std::string& s) const { size_t hash = std::hash<std::string>{}(s); return hash ^ RANDOM; } };
template <class K, class V> using umap = std::unordered_map<K, V, custom>; template <class K> using uset = std::unordered_set<K, custom>;
template<class T> using max_heap = priority_queue<T>;
template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
    
template<typename T, size_t N>
istream& operator>>(istream& is, array<T, N>& arr) {
    for (size_t i = 0; i < N; i++) { is >> arr[i]; } return is;
}

template<typename T, size_t N>
istream& operator>>(istream& is, vector<array<T, N>>& vec) {
    for (auto &arr : vec) { is >> arr; } return is;
}
    
template <typename T1, typename T2>  istream &operator>>(istream& in, pair<T1, T2>& input) {    return in >> input.ff >> input.ss; }
    
template <typename T> istream &operator>>(istream &in, vector<T> &v) { for (auto &el : v) in >> el; return in; }

template<class T>
void output_vector(vt<T>& a, int off_set = 0) {
    int n = a.size();
    for(int i = off_set; i < n; i++) {
        cout << a[i] << (i == n - 1 ? '\n' : ' ');
    }
}

template<typename T, typename Compare>
vi closest_left(const vt<T>& a, Compare cmp) {
    int n = a.size(); vi closest(n); iota(all(closest), 0);
    for (int i = 0; i < n; i++) {
        auto& j = closest[i];
        while(j && cmp(a[i], a[j - 1])) j = closest[j - 1];
    }
    return closest;
}

template<typename T, typename Compare> // auto right = closest_right<int>(a, std::less<int>());
vi closest_right(const vt<T>& a, Compare cmp) {
    int n = a.size(); vi closest(n); iota(all(closest), 0);
    for (int i = n - 1; i >= 0; i--) {
        auto& j = closest[i];
        while(j < n - 1 && cmp(a[i], a[j + 1])) j = closest[j + 1];
    }
    return closest;
}

template<typename T, typename V = string>
vt<pair<T, int>> encode(const V& s) {
    vt<pair<T, int>> seg;
    for(auto& ch : s) {
        if(seg.empty() || ch != seg.back().ff) seg.pb({ch, 1});
        else seg.back().ss++;
    }
    return seg;
}

    
template<typename K, typename V>
auto operator<<(std::ostream &o, const std::map<K, V> &m) -> std::ostream& {
    o << "{"; int i = 0;
    for (const auto &[key, value] : m) { if (i++) o << " , "; o << key << " : " << value; }
    return o << "}";
}

#ifdef LOCAL
#define debug(x...) debug_out(#x, x)
void debug_out(const char* names) { std::cerr << std::endl; }
template <typename T, typename... Args>
void debug_out(const char* names, T value, Args... args) {
    const char* comma = strchr(names, ',');
    std::cerr << "[" << (comma ? std::string(names, comma) : names) << " = " << value << "]";
    if (sizeof...(args)) { std::cerr << ", "; debug_out(comma + 1, args...); }   
    else { std::cerr << std::endl; }
}
template<typename T1, typename T2>
std::ostream& operator<<(std::ostream& o, const std::pair<T1, T2>& p) { return o << "{" << p.ff << " , " << p.ss << "}"; }
auto operator<<(auto &o, const auto &x) -> decltype(end(x), o) {
    o << "{"; int i = 0; for (const auto &e : x) { if (i++) o << " , "; o << e; } return o << "}";
} // remove for leetcode
#include <sys/resource.h>
#include <sys/time.h>
void printMemoryUsage() {
    struct rusage usage;
    getrusage(RUSAGE_SELF, &usage);
    double memoryMB = usage.ru_maxrss / 1024.0;
    cerr << "Memory usage: " << memoryMB << " MB" << "\n";
}

#define startClock clock_t tStart = clock();
#define endClock std::cout << std::fixed << std::setprecision(10) << "\nTime Taken: " << (double)(clock() - tStart) / CLOCKS_PER_SEC << " seconds" << std::endl;
#else
#define debug(...)
#define startClock
#define endClock

#endif
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

#define eps 1e-9
#define M_PI 3.14159265358979323846
const static string pi = "3141592653589793238462643383279";
const static ll INF = 1LL << 62;
const static int inf = 1e9 + 100;
const static int MK = 20;
const static int MX = 1e5 + 5;
ll gcd(ll a, ll b) { while (b != 0) { ll temp = b; b = a % b; a = temp; } return a; }
ll lcm(ll a, ll b) { return (a / gcd(a, b)) * b; }
int pct(ll x) { return __builtin_popcountll(x); }
ll have_bit(ll x, int b) { return x & (1LL << b); }
int min_bit(ll x) { return __builtin_ctzll(x); }
int max_bit(ll x) { return 63 - __builtin_clzll(x); } 
const vvi dirs = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}, {1, 1}, {-1, -1}, {1, -1}, {-1, 1}}; // UP, DOWN, LEFT, RIGHT
const vc dirChar = {'U', 'D', 'L', 'R'};
int modExpo(ll base, ll exp, ll mod) { ll res = 1; base %= mod; while(exp) { if(exp & 1) res = (res * base) % mod; base = (base * base) % mod; exp >>= 1; } return res; }
ll extended_gcd(ll a, ll b, ll &x, ll &y) { if (b == 0) { x = 1; y = 0; return a; } ll d = extended_gcd(b, a % b, y, x); y -= (a / b) * x; return d; }
ll modInv(ll a, ll m) { ll x, y; ll g = extended_gcd(a, m, x, y); if (g != 1) { return -1; } x %= m; if (x < 0) x += m; return x; }
int modExpo_on_string(ll a, string exp, int mod) { ll b = 0; for(auto& ch : exp) b = (b * 10 + (ch - '0')) % (mod - 1); return modExpo(a, b, mod); }
ll sum_even_series(ll n) { return (n / 2) * (n / 2 + 1);} 
ll sum_odd_series(ll n) {return n - sum_even_series(n);} // sum of first n odd number is n ^ 2
ll sum_of_square(ll n) { return n * (n + 1) * (2 * n + 1) / 6; } // sum of 1 + 2 * 2 + 3 * 3 + 4 * 4 + ... + n * n
string make_lower(const string& t) { string s = t; transform(all(s), s.begin(), [](unsigned char c) { return tolower(c); }); return s; }
string make_upper(const string&t) { string s = t; transform(all(s), s.begin(), [](unsigned char c) { return toupper(c); }); return s; }
ll sqrt(ll n) { ll t = sqrtl(n); while(t * t < n) t++; while(t * t > n) t--; return t;}
bool is_perm(ll sm, ll square_sum, ll len) {return sm == len * (len + 1) / 2 && square_sum == len * (len + 1) * (2 * len + 1) / 6;} // determine if an array is a permutation base on sum and square_sum
bool is_vowel(char c) {return c == 'a' || c == 'e' || c == 'u' || c == 'o' || c == 'i';}

const int HASH_COUNT = 2;
vll globalBase;
vll globalMod;
ll mod[2], base[2], p[2][MX];
void initGlobalHashParams() {
    if (!globalBase.empty() && !globalMod.empty()) return;
    vll candidateBases = {91138233, 97266353};
    vll candidateMods  = {1000000007, 1000000009};
								 
	unsigned seed = chrono::steady_clock::now().time_since_epoch().count();
    shuffle(all(candidateBases), default_random_engine(seed));
    shuffle(all(candidateMods), default_random_engine(seed + 1));

    globalBase.rsz(HASH_COUNT);
    globalMod.rsz(HASH_COUNT);
    for (int i = 0; i < HASH_COUNT; i++) {
        globalBase[i] = candidateBases[i];
        globalMod[i]  = candidateMods[i];
    }
    for(int i = 0; i < HASH_COUNT; i++) {
        mod[i] = globalMod[i];
        base[i] = globalBase[i];
    }
    p[0][0] = p[1][0] = 1;
    for(int i = 1; i < MX; i++) {
        for(int j = 0; j < HASH_COUNT; j++) {
            p[j][i] = (p[j][i - 1] * base[j]) % mod[j];
        }
    }
}

template<class T = string>
struct RabinKarp {
    vvll prefix, suffix;
    int n;
    
    RabinKarp(const T &s) {
        initGlobalHashParams();
        n = s.size();
        prefix.rsz(HASH_COUNT);
        suffix.rsz(HASH_COUNT);
        for (int i = 0; i < HASH_COUNT; i++) {
            prefix[i].rsz(n + 1, 0);
            suffix[i].rsz(n + 1, 0);
        }
        buildHash(s);
    }
    
    void buildHash(const T &s) {
        for (int j = 1; j <= n; j++) {
            int x = s[j - 1] - 'a' + 1;
            int y = s[n - j] - 'a' + 1;
            for (int i = 0; i < HASH_COUNT; i++) {
                prefix[i][j] = (prefix[i][j - 1] * base[i] + x) % mod[i];
                suffix[i][j] = (suffix[i][j - 1] * base[i] + y) % mod[i];
            }
        }
    }
    
    ll get_hash(int l, int r) const {
        if (l < 0 || r > n || l > r) return 0;
        ll hash0 = prefix[0][r] - (prefix[0][l] * p[0][r - l] % mod[0]);
        hash0 = (hash0 % mod[0] + mod[0]) % mod[0];
        ll hash1 = prefix[1][r] - (prefix[1][l] * p[1][r - l] % mod[1]);
        hash1 = (hash1 % mod[1] + mod[1]) % mod[1];
        return (hash0 << 32) | hash1;
    }

    ll get_rev_hash(int l, int r) const {
        if(l < 0 || r > n || l >= r) return 0;
        ll h0 = suffix[0][r] - (suffix[0][l] * p[0][r - l] % mod[0]);
        ll h1 = suffix[1][r] - (suffix[1][l] * p[1][r - l] % mod[1]);
        if(h0 < 0) h0 += mod[0];
        if(h1 < 0) h1 += mod[1];
        return (h0 << 32) | h1;
    }

    bool is_palindrome(int l, int r) const {
        if(l > r) return true;
        return get_hash(l, r + 1) == get_hash(n - 1 - r, n - l);
    }

    bool is_palindrome(int l1, int r1, int l2, int r2) const {
        if (l1 > r1 || l2 > r2) return true;  
        return get_hash(l1, r1 + 1) == get_hash(l2, r2 + 1);
    }

    bool diff_by_one_char(RabinKarp &a, int offSet = 0) {
        int left = 0, right = n, rightMost = -1;
        while (left <= right) {
            int middle = left + (right - left) / 2;
            if (a.get_hash(offSet, middle + offSet) == get_hash(0, middle)) {
                rightMost = middle;
                left = middle + 1;
            } else {
                right = middle - 1;
            }
        }
        return a.get_hash(rightMost + 1 + offSet, offSet + n) == get_hash(rightMost + 1, n);
    }
	
	ll combine_hash(pll a, pll b, int len) {
        a.ff = ((a.ff * p[0][len]) + b.ff) % mod[0];
        a.ss = ((a.ss * p[1][len]) + b.ss) % mod[1];
        return (a.ff << 32) | a.ss;
    }
};

void solve() {
    string s; cin >> s;
    int n = s.size();
    RabinKarp<string> t(s);
    int res = 0;
    int i = 0, j = n - 1; 
    while(i <= j) {
        int half = (j - i + 1) / 2;
        bool ok = false;
        for(int k = 1; k <= half; k++) {
            if(t.get_hash(i, i + k) == t.get_hash(j - k + 1, j + 1)) {
                ok = true;
                i += k;
                j -= k;
                res += 2;
                break;
            }
        }
        if(!ok) {
            if(i <= j) res++;
            break;
        }
    }
    cout << res << '\n';
}

signed main() {
    // careful for overflow, check for long long, use unsigned long long for random generator
    // when mle, look if problem require read in file, typically old problems
    IOS;
    startClock
    //generatePrime();

    int t = 1;
    cin >> t;
    for(int i = 1; i <= t; i++) {   
        //cout << "Case #" << i << ": ";  
        solve();
    }

    endClock
    #ifdef LOCAL
      printMemoryUsage();
    #endif

    return 0;
}

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