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Submission #980704

# Submission time Handle Problem Language Result Execution time Memory
980704 2024-05-12T10:34:39 Z vjudge1 Hexagonal Territory (APIO21_hexagon) C++17
51 / 100
 2000 ms 375960 KB 
#include "hexagon.h"

#include <bits/stdc++.h>

using namespace std;

const int mod = 1e9 + 7;

long long pw(long long x, long long n) {
    long long res = 1;
    while (n > 0) {
        if (n & 1) {
            res = res * x % mod;
        }
        n /= 2;
        x = x * x % mod;
    }
    return res;
}

const int N = 400400;
const int Q = 200200;

int dx[6] = {-1, -1, 0, 1, 1, 0};
int dy[6] = {-1, 0, 1, 1, 0, -1};
long long X = 0, Y = 0;

vector<int> v[N];
vector<pair<int, int>> g[N];

int G;
int A[N];
int B[N];
int a[N];
int b[N];
int f[N];

long long F(long long x) {
    return x * (x + 1) / 2 % mod;
}

void dfs(int x, int p) {
    Y += 1ll * f[x] * (B[x] - A[x] + 1) % mod;
    Y += F(B[x] - b[x]) + F(a[x] - A[x]);
    for (auto yy: g[x]) {
        int y = yy.first;
        int dir = yy.second;
        if (y == p) {
            continue;
        }
        a[y] = a[x] - 1;
        b[y] = b[x] + 1;
        f[y] = f[x] + 1;

        if (dir == 1) {
            a[y] += 1;
        } else {
            b[y] -= 1;
        }

        if (max(A[y], a[y]) > min(B[y], b[y])) {
            if (b[y] < A[y]) {
                f[y] += A[y] - b[y];
                a[y] = b[y] = A[y];
            } else {
                f[y] += a[y] - B[y];
                a[y] = b[y] = B[y];
            }
        } else {
            a[y] = max(a[y], A[y]);
            b[y] = min(b[y], B[y]);
        }

        dfs(y, x);
    }
}

void work() {
    for (int i = 0; i < N; i++) {
        sort(v[i].begin(), v[i].end());
    }
    vector<int> shit;
    int root = -1;
    for (int i = 0; i < N; i++) {
        assert (v[i].size() % 2 == 0);
        vector<int> cur;
        for (int j = 0; j < v[i].size(); j += 2) {
            int l = v[i][j];
            int r = v[i][j + 1];
            G += 1;

            A[G] = l;
            B[G] = r;
            X += r - l + 1;

            cur.push_back(G);

            if (A[G] <= 0 && 0 <= B[G] && i == Q) {
                root = G;
            }
        }
        for (int j = 0, h = 0; j < cur.size(); j++) {
            while (h < shit.size() && B[shit[h]] < A[cur[j]]) {
                h += 1;
            }
            if (h < shit.size() && A[shit[h]] <= B[cur[j]]) {
                g[shit[h]].push_back({cur[j], 1});
                g[cur[j]].push_back({shit[h], 0});
                while (h + 1 < shit.size() && A[shit[h + 1]] <= B[cur[j]]) {
                    h += 1;
                    g[shit[h]].push_back({cur[j], 1});
                    g[cur[j]].push_back({shit[h], 0});
                }
            }

            /*
            for (int h = 0; h < shit.size(); h++) {
                if (max(A[shit[h]], A[cur[j]]) <= min(B[shit[h]], B[cur[j]])) {
                    g[shit[h]].push_back({cur[j], 1});
                    g[cur[j]].push_back({shit[h], 0});
                }
            }
            */
        }
        swap(cur, shit);
    }

    dfs(root, root);
}

int draw_territory(int N, int A, int B,
                   std::vector<int> D, std::vector<int> L) {


    if (N == 3) {
        assert (L[0] == L[1]);
        assert (L[1] == L[2]);

        long long x = L[0] + 1;
        X = x * (x + 1) / 2;
        Y = x * (x + 1) % mod * (2 * x + 1) % mod * pw(6, mod - 2) - X;
    } else {
        vector<pair<int, int>> p;
        set<pair<int, int>> fucked;

        int x = 0, y = 0;
        for (int i = 0; i < N; i++) {
            int dir = D[i] - 1;
            for (int j = 0; j < L[i]; j++) {
                x += dx[dir];
                y += dy[dir];
                p.push_back({x, y});

                for (int h = 0; h < 6; h++) {
                    fucked.insert({x + dx[h], y + dy[h]});
                }
            }
        }
        for (auto xi: p) {
            fucked.erase(xi);
        }

        set<pair<int, int>> outers;
        queue<pair<int, int>> q;

        q.push(*fucked.begin());
        outers.insert(*fucked.begin());

        while (!q.empty()) {
            int x = q.front().first;
            int y = q.front().second;
            q.pop();
            for (int i = 0; i < 6; i++) {
                int nx = x + dx[i];
                int ny = y + dy[i];
                if (fucked.find({nx, ny}) == fucked.end()) {
                    continue;
                } else if (outers.find({nx, ny}) == outers.end()) {
                    outers.insert({nx, ny});
                    q.push({nx, ny});
                }
            }
        }

        for (auto xi: p) {
            int x = xi.first;
            int y = xi.second;
            if (outers.find({x, y - 1}) != outers.end()) {
                v[x + Q].push_back(y);
            }
            if (outers.find({x, y + 1}) != outers.end()) {
                v[x + Q].push_back(y);
            }
        }

        work();
    }

    X %= mod;
    Y %= mod;

    long long res = X * A % mod + Y * B % mod;

    res = (res % mod + mod) % mod;

    return res;
}

Compilation message

hexagon.cpp: In function 'void work()':
hexagon.cpp:87:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |         for (int j = 0; j < v[i].size(); j += 2) {
      |                         ~~^~~~~~~~~~~~~
hexagon.cpp:102:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |         for (int j = 0, h = 0; j < cur.size(); j++) {
      |                                ~~^~~~~~~~~~~~
hexagon.cpp:103:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  103 |             while (h < shit.size() && B[shit[h]] < A[cur[j]]) {
      |                    ~~^~~~~~~~~~~~~
hexagon.cpp:106:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |             if (h < shit.size() && A[shit[h]] <= B[cur[j]]) {
      |                 ~~^~~~~~~~~~~~~
hexagon.cpp:109:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  109 |                 while (h + 1 < shit.size() && A[shit[h + 1]] <= B[cur[j]]) {
      |                        ~~~~~~^~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20572 KB Output is correct
2 Correct 5 ms 20740 KB Output is correct
3 Correct 5 ms 20572 KB Output is correct
4 Correct 5 ms 20756 KB Output is correct
5 Correct 7 ms 20572 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 20572 KB Output is correct
2 Correct 6 ms 20572 KB Output is correct
3 Correct 6 ms 20572 KB Output is correct
4 Correct 5 ms 20572 KB Output is correct
5 Correct 5 ms 20572 KB Output is correct
6 Correct 6 ms 20748 KB Output is correct
7 Correct 5 ms 20572 KB Output is correct
8 Correct 6 ms 20572 KB Output is correct
9 Correct 6 ms 20572 KB Output is correct
10 Correct 5 ms 20740 KB Output is correct
11 Correct 5 ms 20752 KB Output is correct
12 Correct 5 ms 20568 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 22620 KB Output is correct
2 Correct 9 ms 22876 KB Output is correct
3 Correct 10 ms 23128 KB Output is correct
4 Correct 10 ms 22876 KB Output is correct
5 Correct 11 ms 22876 KB Output is correct
6 Correct 10 ms 22876 KB Output is correct
7 Correct 10 ms 22872 KB Output is correct
8 Correct 10 ms 22792 KB Output is correct
9 Correct 12 ms 22876 KB Output is correct
10 Correct 11 ms 23132 KB Output is correct
11 Correct 11 ms 23188 KB Output is correct
12 Correct 10 ms 23128 KB Output is correct
13 Correct 10 ms 22920 KB Output is correct
14 Correct 10 ms 23132 KB Output is correct
15 Correct 10 ms 22876 KB Output is correct
16 Correct 10 ms 23040 KB Output is correct
17 Correct 12 ms 22996 KB Output is correct
18 Correct 5 ms 20568 KB Output is correct
19 Correct 5 ms 20572 KB Output is correct
20 Correct 6 ms 20748 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 374 ms 62212 KB Output is correct
2 Correct 228 ms 42692 KB Output is correct
3 Correct 275 ms 49088 KB Output is correct
4 Correct 199 ms 43412 KB Output is correct
5 Correct 289 ms 51320 KB Output is correct
6 Correct 367 ms 57276 KB Output is correct
7 Correct 160 ms 35780 KB Output is correct
8 Correct 291 ms 45260 KB Output is correct
9 Correct 371 ms 55232 KB Output is correct
10 Correct 375 ms 57720 KB Output is correct
11 Correct 285 ms 52720 KB Output is correct
12 Correct 290 ms 52416 KB Output is correct
13 Correct 292 ms 54208 KB Output is correct
14 Correct 231 ms 43380 KB Output is correct
15 Correct 366 ms 44184 KB Output is correct
16 Correct 291 ms 44732 KB Output is correct
17 Correct 5 ms 20572 KB Output is correct
18 Correct 5 ms 20572 KB Output is correct
19 Correct 5 ms 20572 KB Output is correct

Subtask #5
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 20572 KB Output is correct
2 Correct 5 ms 20660 KB Output is correct
3 Correct 363 ms 62384 KB Output is correct
4 Correct 221 ms 42664 KB Output is correct
5 Correct 266 ms 49076 KB Output is correct
6 Correct 197 ms 43444 KB Output is correct
7 Correct 301 ms 51440 KB Output is correct
8 Correct 364 ms 57168 KB Output is correct
9 Correct 146 ms 35780 KB Output is correct
10 Correct 302 ms 45204 KB Output is correct
11 Correct 370 ms 55232 KB Output is correct
12 Correct 372 ms 57660 KB Output is correct
13 Correct 254 ms 52672 KB Output is correct
14 Correct 281 ms 52228 KB Output is correct
15 Correct 331 ms 54324 KB Output is correct
16 Correct 234 ms 43460 KB Output is correct
17 Correct 323 ms 43964 KB Output is correct
18 Correct 291 ms 44908 KB Output is correct
19 Execution timed out 2041 ms 374196 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #6
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 22616 KB Output is correct
2 Correct 10 ms 22876 KB Output is correct
3 Correct 11 ms 23072 KB Output is correct
4 Correct 10 ms 22872 KB Output is correct
5 Correct 10 ms 22872 KB Output is correct
6 Correct 10 ms 22872 KB Output is correct
7 Correct 12 ms 22876 KB Output is correct
8 Correct 10 ms 22872 KB Output is correct
9 Correct 12 ms 22852 KB Output is correct
10 Correct 12 ms 23132 KB Output is correct
11 Correct 11 ms 23128 KB Output is correct
12 Correct 10 ms 23132 KB Output is correct
13 Correct 10 ms 22876 KB Output is correct
14 Correct 10 ms 23128 KB Output is correct
15 Correct 10 ms 22876 KB Output is correct
16 Correct 10 ms 22872 KB Output is correct
17 Correct 10 ms 23048 KB Output is correct
18 Correct 362 ms 62276 KB Output is correct
19 Correct 229 ms 42964 KB Output is correct
20 Correct 302 ms 49116 KB Output is correct
21 Correct 211 ms 43456 KB Output is correct
22 Correct 291 ms 51400 KB Output is correct
23 Correct 365 ms 57276 KB Output is correct
24 Correct 144 ms 35756 KB Output is correct
25 Correct 282 ms 45168 KB Output is correct
26 Correct 374 ms 55104 KB Output is correct
27 Correct 371 ms 57812 KB Output is correct
28 Correct 267 ms 52716 KB Output is correct
29 Correct 272 ms 52200 KB Output is correct
30 Correct 288 ms 54232 KB Output is correct
31 Correct 232 ms 43352 KB Output is correct
32 Correct 339 ms 44036 KB Output is correct
33 Correct 318 ms 44992 KB Output is correct
34 Correct 165 ms 42696 KB Output is correct
35 Correct 207 ms 41356 KB Output is correct
36 Correct 192 ms 40364 KB Output is correct
37 Correct 271 ms 50072 KB Output is correct
38 Correct 295 ms 50808 KB Output is correct
39 Correct 341 ms 52928 KB Output is correct
40 Correct 346 ms 50052 KB Output is correct
41 Correct 315 ms 45500 KB Output is correct
42 Correct 376 ms 54492 KB Output is correct
43 Correct 378 ms 56164 KB Output is correct
44 Correct 271 ms 51104 KB Output is correct
45 Correct 290 ms 52164 KB Output is correct
46 Correct 245 ms 48404 KB Output is correct
47 Correct 287 ms 47236 KB Output is correct
48 Correct 334 ms 45756 KB Output is correct
49 Correct 216 ms 38240 KB Output is correct
50 Correct 5 ms 20572 KB Output is correct
51 Correct 5 ms 20572 KB Output is correct
52 Correct 5 ms 20572 KB Output is correct
53 Correct 5 ms 20572 KB Output is correct
54 Correct 5 ms 20572 KB Output is correct
55 Correct 5 ms 20740 KB Output is correct
56 Correct 5 ms 20568 KB Output is correct
57 Correct 5 ms 20568 KB Output is correct

Subtask #7
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 20572 KB Output is correct
2 Correct 6 ms 20572 KB Output is correct
3 Correct 5 ms 20568 KB Output is correct
4 Correct 5 ms 20568 KB Output is correct
5 Execution timed out 2107 ms 350460 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 22812 KB Output is correct
2 Correct 6 ms 20568 KB Output is correct
3 Correct 5 ms 20572 KB Output is correct
4 Correct 5 ms 20572 KB Output is correct
5 Correct 5 ms 20572 KB Output is correct
6 Correct 9 ms 22876 KB Output is correct
7 Correct 10 ms 23132 KB Output is correct
8 Correct 10 ms 22876 KB Output is correct
9 Correct 10 ms 22876 KB Output is correct
10 Correct 10 ms 23048 KB Output is correct
11 Correct 10 ms 22876 KB Output is correct
12 Correct 10 ms 22784 KB Output is correct
13 Correct 10 ms 22876 KB Output is correct
14 Correct 10 ms 23128 KB Output is correct
15 Correct 11 ms 23132 KB Output is correct
16 Correct 10 ms 22876 KB Output is correct
17 Correct 10 ms 22876 KB Output is correct
18 Correct 10 ms 22872 KB Output is correct
19 Correct 10 ms 22876 KB Output is correct
20 Correct 10 ms 22876 KB Output is correct
21 Correct 10 ms 22876 KB Output is correct
22 Correct 366 ms 62292 KB Output is correct
23 Correct 213 ms 42664 KB Output is correct
24 Correct 271 ms 49040 KB Output is correct
25 Correct 204 ms 43460 KB Output is correct
26 Correct 309 ms 51484 KB Output is correct
27 Correct 369 ms 57212 KB Output is correct
28 Correct 145 ms 35832 KB Output is correct
29 Correct 279 ms 45248 KB Output is correct
30 Correct 371 ms 55488 KB Output is correct
31 Correct 398 ms 57792 KB Output is correct
32 Correct 266 ms 52760 KB Output is correct
33 Correct 322 ms 52160 KB Output is correct
34 Correct 298 ms 54152 KB Output is correct
35 Correct 222 ms 43456 KB Output is correct
36 Correct 327 ms 44040 KB Output is correct
37 Correct 294 ms 44736 KB Output is correct
38 Execution timed out 2040 ms 375960 KB Time limit exceeded
39 Halted 0 ms 0 KB -