oj.uz

Submission #998039

# Submission time Handle Problem Language Result Execution time Memory
998039 2024-06-13T08:40:12 Z green_gold_dog Izvanzemaljci (COI21_izvanzemaljci) C++17
56 / 100
 906 ms 6516 KB 
//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,abm,popcnt,mmx")
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef double db;
typedef long double ldb;
typedef complex<double> cd;

constexpr ll INF64 = 9'000'000'000'000'000'000, INF32 = 2'000'000'000, MOD = 1'000'000'007;
constexpr db PI = acos(-1);
constexpr bool IS_FILE = false, IS_TEST_CASES = false;

random_device rd;
mt19937 rnd32(rd());
mt19937_64 rnd64(rd());

template<typename T>
bool assign_max(T& a, T b) {
        if (b > a) {
                a = b;
                return true;
        }
        return false;
}

template<typename T>
bool assign_min(T& a, T b) {
        if (b < a) {
                a = b;
                return true;
        }
        return false;
}

template<typename T>
T square(T a) {
        return a * a;
}

template<>
struct std::hash<pair<ll, ll>> {
        ll operator() (pair<ll, ll> p) const {
                return ((__int128)p.first * MOD + p.second) % INF64;
        }
};

ll gmaxpreff(vector<pair<ll, ll>>& all, ll s) {
        ll nx = all.begin()->first;
        ll miny = INF32, maxy = -INF32;
        auto now = all.begin();
        while (now != all.end()) {
                auto[x, y] = *now;
                if (x - nx > s) {
                        return x;
                }
                assign_min(miny, y);
                assign_max(maxy, y);
                if (maxy - miny > s) {
                        return x;
                }
                now++;
        }
        return INF32;
}

ll gmaxsufff(vector<pair<ll, ll>>& all, ll s) {
        ll nx = all.rbegin()->first;
        ll miny = INF32, maxy = -INF32;
        auto now = all.rbegin();
        while (now != all.rend()) {
                auto[x, y] = *now;
                if (nx - x > s) {
                        return x;
                }
                assign_min(miny, y);
                assign_max(maxy, y);
                if (maxy - miny > s) {
                        return x;
                }
                now++;
        }
        return -INF32;
}

ll gmaxprefs(vector<pair<ll, ll>>& all, ll s) {
        ll nx = all.begin()->second;
        ll miny = INF32, maxy = -INF32;
        auto now = all.begin();
        while (now != all.end()) {
                auto[y, x] = *now;
                if (x - nx > s) {
                        return x;
                }
                assign_min(miny, y);
                assign_max(maxy, y);
                if (maxy - miny > s) {
                        return x;
                }
                now++;
        }
        return INF32;
}

ll gmaxsuffs(vector<pair<ll, ll>>& all, ll s) {
        ll nx = all.rbegin()->second;
        ll miny = INF32, maxy = -INF32;
        auto now = all.rbegin();
        while (now != all.rend()) {
                auto[y, x] = *now;
                if (nx - x > s) {
                        return x;
                }
                assign_min(miny, y);
                assign_max(maxy, y);
                if (maxy - miny > s) {
                        return x;
                }
                now++;
        }
        return -INF32;
}

pair<bool, vector<tuple<ll, ll, ll>>> s2h(ll s, vector<pair<ll, ll>>& arr, bool b = true) {
        vector<tuple<ll, ll, ll>> ans;
        if (arr.empty()) {
                ans.emplace_back(2'500'000'000, 2'500'000'000, 1);
                ans.emplace_back(3'000'000'000, 3'000'000'000, 1);
                return make_pair(true, ans);
        }
        sort(arr.begin(), arr.end());
        ll mpref = gmaxpreff(arr, s), msuff = gmaxsufff(arr, s);
        if (mpref <= msuff) {
                return make_pair(false, ans);
        }
        ll maxx1 = -INF32, minx1 = INF32;
        ll maxy1 = -INF32, miny1 = INF32;
        ll maxx2 = -INF32, minx2 = INF32;
        ll maxy2 = -INF32, miny2 = INF32;
        for (auto[x, y] : arr) {
                if (x < mpref) {
                        assign_max(maxx1, x);
                        assign_min(minx1, x);
                        assign_max(maxy1, y);
                        assign_min(miny1, y);
                } else {
                        assign_max(maxx2, x);
                        assign_min(minx2, x);
                        assign_max(maxy2, y);
                        assign_min(miny2, y);
                }
        }
        if (b) {
                ans.emplace_back(maxx1 - s, miny1, s);
                ans.emplace_back(minx2, miny2, s);
        } else {
                ans.emplace_back(maxx1 - s, maxy1 - s, s);
                ans.emplace_back(minx2, maxy2 - s, s);
        }
        return make_pair(true, ans);
}

bool cmp(pair<ll, ll> p1, pair<ll, ll> p2) {
        return p1.second < p2.second;
}

pair<bool, vector<tuple<ll, ll, ll>>> s2v(ll s, vector<pair<ll, ll>>& arr, bool b = true) {
        vector<tuple<ll, ll, ll>> ans;
        if (arr.empty()) {
                ans.emplace_back(2'500'000'000, 2'500'000'000, 1);
                ans.emplace_back(3'000'000'000, 3'000'000'000, 1);
                return make_pair(true, ans);
        }
        sort(arr.begin(), arr.end(), cmp);
        ll mpref = gmaxprefs(arr, s), msuff = gmaxsuffs(arr, s);
        if (mpref <= msuff) {
                return make_pair(false, ans);
        }
        ll maxx1 = -INF32, minx1 = INF32;
        ll maxy1 = -INF32, miny1 = INF32;
        ll maxx2 = -INF32, minx2 = INF32;
        ll maxy2 = -INF32, miny2 = INF32;
        for (auto[x, y] : arr) {
                if (y < mpref) {
                        assign_max(maxx1, x);
                        assign_min(minx1, x);
                        assign_max(maxy1, y);
                        assign_min(miny1, y);
                } else {
                        assign_max(maxx2, x);
                        assign_min(minx2, x);
                        assign_max(maxy2, y);
                        assign_min(miny2, y);
                }
        }
        if (b) {
                ans.emplace_back(minx1, maxy1 - s, s);
                ans.emplace_back(minx2, miny2, s);
        } else {
                ans.emplace_back(maxx1 - s, maxy1 - s, s);
                ans.emplace_back(maxx2 - s, miny2, s);
        }
        return make_pair(true, ans);
}

pair<bool, vector<tuple<ll, ll, ll>>> s3hl(ll s, vector<pair<ll, ll>>& arr) {
        sort(arr.begin(), arr.end());
        ll mpref = gmaxpreff(arr, s);
        vector<pair<ll, ll>> narr;
        ll maxx = -INF32, minx = INF32;
        ll maxy = -INF32, miny = INF32;
        for (auto[x, y] : arr) {
                if (x < mpref) {
                        assign_max(maxx, x);
                        assign_min(minx, x);
                        assign_max(maxy, y);
                        assign_min(miny, y);
                } else {
                        narr.emplace_back(x, y);
                }
        }
        vector<tuple<ll, ll, ll>> ans;
        ans.emplace_back(maxx - s, maxy - s, s);
        auto[f, nans] = s2v(s, narr, true);
        if (!f) {
                return make_pair(false, nans);
        }
        for (auto i : nans) {
                ans.push_back(i);
        }
        return make_pair(true, ans);
}

pair<bool, vector<tuple<ll, ll, ll>>> s3hr(ll s, vector<pair<ll, ll>>& arr) {
        sort(arr.begin(), arr.end());
        ll msuff = gmaxsufff(arr, s);
        vector<pair<ll, ll>> narr;
        ll maxx = -INF32, minx = INF32;
        ll maxy = -INF32, miny = INF32;
        for (auto[x, y] : arr) {
                if (x > msuff) {
                        assign_max(maxx, x);
                        assign_min(minx, x);
                        assign_max(maxy, y);
                        assign_min(miny, y);
                } else {
                        narr.emplace_back(x, y);
                }
        }
        vector<tuple<ll, ll, ll>> ans;
        ans.emplace_back(minx, miny, s);
        auto[f, nans] = s2v(s, narr, false);
        if (!f) {
                return make_pair(false, nans);
        }
        for (auto i : nans) {
                ans.push_back(i);
        }
        return make_pair(true, ans);
}

pair<bool, vector<tuple<ll, ll, ll>>> s3vl(ll s, vector<pair<ll, ll>>& arr) {
        sort(arr.begin(), arr.end(), cmp);
        ll mpref = gmaxprefs(arr, s);
        vector<pair<ll, ll>> narr;
        ll maxx = -INF32, minx = INF32;
        ll maxy = -INF32, miny = INF32;
        for (auto[x, y] : arr) {
                if (y < mpref) {
                        assign_max(maxx, x);
                        assign_min(minx, x);
                        assign_max(maxy, y);
                        assign_min(miny, y);
                } else {
                        narr.emplace_back(x, y);
                }
        }
        vector<tuple<ll, ll, ll>> ans;
        ans.emplace_back(maxx - s, maxy - s, s);
        auto[f, nans] = s2h(s, narr, true);
        if (!f) {
                return make_pair(false, nans);
        }
        for (auto i : nans) {
                ans.push_back(i);
        }
        return make_pair(true, ans);
}

pair<bool, vector<tuple<ll, ll, ll>>> s3vr(ll s, vector<pair<ll, ll>>& arr) {
        sort(arr.begin(), arr.end(), cmp);
        ll msuff = gmaxsuffs(arr, s);
        vector<pair<ll, ll>> narr;
        ll maxx = -INF32, minx = INF32;
        ll maxy = -INF32, miny = INF32;
        for (auto[x, y] : arr) {
                if (y > msuff) {
                        assign_max(maxx, x);
                        assign_min(minx, x);
                        assign_max(maxy, y);
                        assign_min(miny, y);
                } else {
                        narr.emplace_back(x, y);
                }
        }
        vector<tuple<ll, ll, ll>> ans;
        ans.emplace_back(minx, miny, s);
        auto[f, nans] = s2h(s, narr, false);
        if (!f) {
                return make_pair(false, nans);
        }
        for (auto i : nans) {
                ans.push_back(i);
        }
        return make_pair(true, ans);
}

void solve() {
        ll n, k;
        cin >> n >> k;
        vector<pair<ll, ll>> arr(n);
        for (ll i = 0; i < n; i++) {
                cin >> arr[i].first >> arr[i].second;
        }
        if (k == 1) {
                ll maxx = -INF32, minx = INF32;
                ll maxy = -INF32, miny = INF32;
                for (auto[x, y] : arr) {
                        assign_max(maxx, x);
                        assign_min(minx, x);
                        assign_max(maxy, y);
                        assign_min(miny, y);
                }
                cout << minx << ' ' << miny << ' ' << max(1ll, max(maxx - minx, maxy - miny)) << '\n';
                return;
        }
        if (k == 2) {
                ll l = 0, r = INF32;
                while (r - l > 1) {
                        ll mid = (l + r) / 2;
                        if (s2h(mid, arr).first || s2v(mid, arr).first) {
                                r = mid;
                        } else {
                                l = mid;
                        }
                }
                if (s2h(r, arr).first) {
                        for (auto[a, b, c] : s2h(r, arr).second) {
                                cout << a << ' ' << b << ' ' << c << '\n';
                        }
                } else {
                        for (auto[a, b, c] : s2v(r, arr).second) {
                                cout << a << ' ' << b << ' ' << c << '\n';
                        }
                }
                return;
        }
        ll l = 0, r = INF32;
        while (r - l > 1) {
                ll mid = (l + r) / 2;
                if (s3hl(mid, arr).first || s3hr(mid, arr).first || s3vl(mid, arr).first || s3vr(mid, arr).first) {
                        r = mid;
                } else {
                        l = mid;
                }
        }
        if (s3hl(r, arr).first) {
                for (auto[a, b, c] : s3hl(r, arr).second) {
                        cout << a << ' ' << b << ' ' << c << '\n';
                }
                return;
        }
        if (s3hr(r, arr).first) {
                for (auto[a, b, c] : s3hr(r, arr).second) {
                        cout << a << ' ' << b << ' ' << c << '\n';
                }
                return;
        }
        if (s3vl(r, arr).first) {
                for (auto[a, b, c] : s3vl(r, arr).second) {
                        cout << a << ' ' << b << ' ' << c << '\n';
                }
                return;
        }
        if (s3vr(r, arr).first) {
                for (auto[a, b, c] : s3vr(r, arr).second) {
                        cout << a << ' ' << b << ' ' << c << '\n';
                }
                return;
        }
}

int main() {
        if (IS_FILE) {
                freopen("", "r", stdin);
                freopen("", "w", stdout);
        }
        ios_base::sync_with_stdio(false);
        cin.tie(0);
        cout.tie(0);
        ll t = 1;
        if (IS_TEST_CASES) {
                cin >> t;
        }
        for (ll i = 0; i < t; i++) {
                solve();
        }
}

Compilation message

izvanzemaljci.cpp: In function 'int main()':
izvanzemaljci.cpp:397:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  397 |                 freopen("", "r", stdin);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~
izvanzemaljci.cpp:398:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  398 |                 freopen("", "w", stdout);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 15 ms 1880 KB Output is correct
8 Correct 15 ms 1884 KB Output is correct
9 Correct 15 ms 1884 KB Output is correct
10 Correct 15 ms 1884 KB Output is correct
11 Correct 16 ms 1884 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 432 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 502 ms 1884 KB Output is correct
11 Correct 499 ms 1884 KB Output is correct
12 Correct 491 ms 1880 KB Output is correct
13 Correct 501 ms 1880 KB Output is correct
14 Correct 493 ms 1884 KB Output is correct
15 Correct 479 ms 1884 KB Output is correct
16 Correct 394 ms 1880 KB Output is correct
17 Correct 439 ms 1880 KB Output is correct
18 Correct 427 ms 1628 KB Output is correct
19 Correct 214 ms 1624 KB Output is correct
20 Correct 263 ms 1628 KB Output is correct
21 Correct 494 ms 1884 KB Output is correct
22 Correct 501 ms 1884 KB Output is correct
23 Correct 247 ms 1880 KB Output is correct

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Incorrect 0 ms 348 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 348 KB Output is correct
2 Correct 9 ms 536 KB Output is correct
3 Correct 7 ms 344 KB Output is correct
4 Correct 9 ms 348 KB Output is correct
5 Correct 10 ms 344 KB Output is correct
6 Correct 7 ms 348 KB Output is correct
7 Correct 7 ms 536 KB Output is correct
8 Correct 9 ms 348 KB Output is correct
9 Correct 10 ms 544 KB Output is correct
10 Correct 5 ms 484 KB Output is correct
11 Correct 8 ms 344 KB Output is correct
12 Correct 7 ms 544 KB Output is correct
13 Correct 6 ms 532 KB Output is correct
14 Correct 5 ms 536 KB Output is correct
15 Correct 5 ms 532 KB Output is correct
16 Correct 5 ms 348 KB Output is correct
17 Correct 4 ms 348 KB Output is correct
18 Correct 4 ms 348 KB Output is correct
19 Correct 6 ms 348 KB Output is correct
20 Correct 4 ms 348 KB Output is correct
21 Correct 4 ms 348 KB Output is correct
22 Correct 4 ms 348 KB Output is correct
23 Correct 4 ms 344 KB Output is correct
24 Correct 4 ms 348 KB Output is correct

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 348 KB Output is correct
2 Correct 6 ms 348 KB Output is correct
3 Correct 9 ms 344 KB Output is correct
4 Correct 5 ms 544 KB Output is correct
5 Correct 7 ms 348 KB Output is correct
6 Correct 7 ms 348 KB Output is correct
7 Correct 8 ms 540 KB Output is correct
8 Correct 9 ms 344 KB Output is correct
9 Correct 10 ms 348 KB Output is correct
10 Correct 6 ms 348 KB Output is correct
11 Correct 7 ms 348 KB Output is correct
12 Correct 5 ms 348 KB Output is correct
13 Correct 7 ms 348 KB Output is correct
14 Incorrect 906 ms 6516 KB Output isn't correct
15 Halted 0 ms 0 KB -