Codeforces-solutions/XIII UnB Contest Mirror/D. Shift Cipher.cpp

/* Problem URL: https://codeforces.com/gym/106159/problem/D */

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;

#define V vector

#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)

#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)

#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()

using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;

using ll = long long;

using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;

template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
    os << vec[0];
    for (size_t i = 1; i < vec.size(); i++) {
        os << ' ' << vec[i];
    }
    os << '\n';
    return os;
}

template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
    for (auto &i : vec) {
        is >> i;
    }
    return is;
}

template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
    for (auto &i : vec) {
        os << i[0];
        for (size_t j = 1; j < i.size(); j++) {
            os << ' ' << i[j];
        }
        os << '\n';
    }
    return os;
}

template<class v>
auto operator>>(istream  &is, vector<vector<v>> &vec)->istream& {
    for (auto &i : vec) {
        for (auto &j : i) {
            is >> j;
        }
    }
    return is;
}

const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;


void pre()
{

}

#define TEST 0

struct hashing {
    static vl p;
    static ll m;
    static ll b;
    vl hash;

    hashing(vi &now) {
        while (p.size() <= now.size()) {
            p.push_back(((__int128)p.back() * b % m));
        }

        hash.push_back(0);
        rep(i, now.size()) {
            hash.push_back(((__int128)hash.back() * b % m + now[i]) % m);
        }
    }

    ll gethash(int l, int r) {
        return (((__int128)hash[r + 1] - (__int128)hash[l] * p[r - l + 1]) % m + m) % m;
    }
};

vl hashing::p = {1};
ll hashing::m = (1LL << 61) - 1;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll hashing::b = uniform_int_distribution<ll>(1000, m - 1)(rng);

void solve()
{
    int n, m;
    cin >> n >> m;

    vi a(n);
    vi b(m);
    cin >> a >> b;

    vi diffa(n - 1);
    vi diffb(m - 1);

    rep(i, n - 1) {
        if (a[i] <= a[i + 1]) {
            diffa[i] = a[i + 1] - a[i];
        } else {
            diffa[i] = a[i + 1] - a[i] + 10000;
        }
    }

    rep(i, m - 1) {
        if (b[i] <= b[i + 1]) {
            diffb[i] = b[i + 1] - b[i];
        } else {
            diffb[i] = b[i + 1] - b[i] + 10000;
        }
    }

    vi all;
    hashing ah(diffa);
    hashing bh(diffb);

    rep(i, n - m + 1) {
        if (bh.gethash(0, m - 2) == ah.gethash(i, i + m - 2)) {
            all.push_back(i);
        }
    }

    vi ans(10000);
    repv(i, all) {
        if (a[i] <= b[0]) {
            ans[b[0] - a[i]]++;
            continue;
        }
        ans[b[0] - a[i] + 10000]++;
    }

    int maximal = 0;
    int choice = 0;
    rep(i, 10000) {
        if (ans[i] > maximal) {
            maximal = ans[i];
            choice = i;
        }
    }

    cout << choice << ' ' << maximal << '\n';
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    pre();

    int t;
    (TEST && cin >> t) || (t = 1);
    while (t--) {
        solve();
    }
}