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Submission #1007428

# Submission time Handle Problem Language Result Execution time Memory
1007428 2024-06-24T22:03:04 Z makrav Intergalactic ship (IZhO19_xorsum) C++17
100 / 100
 266 ms 16216 KB 
#include <bits/stdc++.h>
  
using namespace std;
using ll = long long;
  
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define pb push_back
#define ff first 
#define sc second

const int mod = 1e9 + 7;

int cnt[7][1000];
int add[1001][1001], pref[1001][1001];
ll sum_pw[200010];

signed main() {
    ios::sync_with_stdio(false); cin.tie(0);
    
    int n; cin >> n;
    vector<int> a(n);
    for (int i = 0; i < n; i++) cin >> a[i];
    int q; cin >> q;
    vector<vector<int>> qrs(q, vector<int>(3));
    for (int i = 0; i < q; i++) {
        cin >> qrs[i][0] >> qrs[i][1] >> qrs[i][2];
        qrs[i][0]--;
        qrs[i][1]--;
    }
    for (int bit = 0; bit < 7; bit++) {
        vector<int> delta(n + 1, 0);
        for (int i = 0; i < q; i++) {
            if ((qrs[i][2] >> bit) & 1) {
                delta[qrs[i][0]]++;
                delta[qrs[i][1] + 1]--;
            }
        }
        int bal = 0;
        for (int i = 0; i < n; i++) {
            bal += delta[i];
            cnt[bit][i] = bal;
        }
    }
    for (int bit = 0; bit < 7; bit++) {
        for (int bit2 = 0; bit2 < 7; bit2++) {
            for (int i = 0; i < q; i++) {
                if (((qrs[i][2] >> bit) & 1) && ((qrs[i][2] >> bit2) & 1)) {
                    add[qrs[i][0]][qrs[i][0]]++;
                    add[qrs[i][0]][qrs[i][1] + 1]--;
                    add[qrs[i][1] + 1][qrs[i][0]]--;
                    add[qrs[i][1] + 1][qrs[i][1] + 1]++;
                }
            }
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < n; j++) {
                    pref[i][j] = (i > 0 ? pref[i - 1][j] : 0) + (j > 0 ? pref[i][j - 1] : 0) - ((i > 0 && j > 0) ? pref[i - 1][j - 1] : 0) + add[i][j];
                    if (j >= i) {
                        int AD = q - (cnt[bit][i] + cnt[bit2][j] - pref[i][j]) + bit + bit2;
                        int C = (i + 1) * (n - j);
                        if (i != j)C*=2;

                        if (pref[i][j] == 0) {
                            if (cnt[bit][i] == 0 && ((a[i]>>bit)&1)==0)continue;
                            if (cnt[bit2][j]==0&&((a[j]>>bit2)&1)==0)continue;
                            int SS = max(0, cnt[bit][i] - 1) + max(0, cnt[bit2][j] - 1);
                            sum_pw[AD + SS] += C;
                        } else {
                            if (pref[i][j] == cnt[bit][i]) {
                                if (pref[i][j] == cnt[bit2][j]) {
                                    if (((a[i]>>bit)&1)==((a[j]>>bit2)&1)) {
                                        sum_pw[pref[i][j] - 1 + AD] += C;
                                    }
                                } else {
                                    sum_pw[cnt[bit2][j] - 2 + AD] += C;
                                }
                            } else {
                                if (pref[i][j] == cnt[bit2][j]) {
                                    sum_pw[cnt[bit][i] - 2 + AD] += C;
                                } else {
                                    sum_pw[AD + cnt[bit][i] + cnt[bit2][j] - pref[i][j] - 2] += C;
                                }
                            }
                        }
                    }
                }
            }
            for (int i = 0; i < q; i++) {
                if (((qrs[i][2] >> bit) & 1) && ((qrs[i][2] >> bit2) & 1)) {
                    add[qrs[i][0]][qrs[i][0]]--;
                    add[qrs[i][0]][qrs[i][1] + 1]++;
                    add[qrs[i][1] + 1][qrs[i][0]]++;
                    add[qrs[i][1] + 1][qrs[i][1] + 1]--;
                }
            }
        }
    }
    ll ans = 0, pw = 1;
    for (int i = 0; i < q + 20; i++) {
        ans += ((sum_pw[i] % mod) * 1ll * pw) % mod;
        ans %= mod;
        pw *= 2;
        pw %= mod;
    }
    cout << ans << '\n';

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 3 ms 4444 KB Output is correct
8 Correct 2 ms 2396 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 10672 KB Output is correct
2 Correct 7 ms 5208 KB Output is correct
3 Correct 3 ms 4572 KB Output is correct
4 Correct 2 ms 4440 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 184 ms 9300 KB Output is correct
2 Correct 178 ms 9052 KB Output is correct
3 Correct 174 ms 8876 KB Output is correct
4 Correct 177 ms 8540 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 3 ms 4700 KB Output is correct
5 Correct 3 ms 4700 KB Output is correct
6 Correct 4 ms 4828 KB Output is correct
7 Correct 3 ms 4700 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 3 ms 4444 KB Output is correct
8 Correct 2 ms 2396 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 3 ms 4444 KB Output is correct
13 Correct 3 ms 4444 KB Output is correct
14 Correct 3 ms 4444 KB Output is correct
15 Correct 3 ms 4564 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 3 ms 4444 KB Output is correct
8 Correct 2 ms 2396 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 3 ms 4700 KB Output is correct
13 Correct 3 ms 4700 KB Output is correct
14 Correct 4 ms 4828 KB Output is correct
15 Correct 3 ms 4700 KB Output is correct
16 Correct 3 ms 4444 KB Output is correct
17 Correct 3 ms 4444 KB Output is correct
18 Correct 3 ms 4444 KB Output is correct
19 Correct 3 ms 4564 KB Output is correct
20 Correct 110 ms 15180 KB Output is correct
21 Correct 106 ms 15196 KB Output is correct
22 Correct 81 ms 15196 KB Output is correct

Subtask #9
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 3 ms 4444 KB Output is correct
8 Correct 2 ms 2396 KB Output is correct
9 Correct 45 ms 10672 KB Output is correct
10 Correct 7 ms 5208 KB Output is correct
11 Correct 3 ms 4572 KB Output is correct
12 Correct 2 ms 4440 KB Output is correct
13 Correct 184 ms 9300 KB Output is correct
14 Correct 178 ms 9052 KB Output is correct
15 Correct 174 ms 8876 KB Output is correct
16 Correct 177 ms 8540 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 3 ms 4700 KB Output is correct
21 Correct 3 ms 4700 KB Output is correct
22 Correct 4 ms 4828 KB Output is correct
23 Correct 3 ms 4700 KB Output is correct
24 Correct 3 ms 4444 KB Output is correct
25 Correct 3 ms 4444 KB Output is correct
26 Correct 3 ms 4444 KB Output is correct
27 Correct 3 ms 4564 KB Output is correct
28 Correct 110 ms 15180 KB Output is correct
29 Correct 106 ms 15196 KB Output is correct
30 Correct 81 ms 15196 KB Output is correct
31 Correct 237 ms 16216 KB Output is correct
32 Correct 266 ms 16216 KB Output is correct
33 Correct 220 ms 15956 KB Output is correct
34 Correct 217 ms 16000 KB Output is correct
35 Correct 232 ms 15964 KB Output is correct
36 Correct 219 ms 15952 KB Output is correct