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Submission #653508

# Submission time Handle Problem Language Result Execution time Memory
653508 2022-10-27T05:06:00 Z becaido Intergalactic ship (IZhO19_xorsum) C++17
100 / 100
 1185 ms 6984 KB 
#pragma GCC optimize("O3")
#pragma GCC target("popcnt")
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define Waimai ios::sync_with_stdio(false),cin.tie(0)
#define FOR(x,a,b) for(int x=a,I=b;x<=I;x++)
#define pb emplace_back
#define F first
#define S second

const int MOD = 1e9 + 7;
const int SIZE = 1005;
const int QSIZ = 1e5 + 5;

int n, q, ans;
int a[SIZE], pro[QSIZ];
int c1[SIZE], c2[SIZE], cnt[SIZE][SIZE];
tuple<int, int, int> ask[QSIZ];

inline pair<int, int> cal (int c) {
    if (c == 0) return {0, 1};
    return {pro[c - 1], pro[c - 1]};
}

void solve() {
    cin >> n;
    FOR (i, 1, n) cin >> a[i];
    cin >> q;
    FOR (i, 1, q) {
        auto &[l, r, x] = ask[i];
        cin >> l >> r >> x;
    }
    pro[0] = 1;
    FOR (i, 1, max (q, 12)) pro[i] = (pro[i - 1] << 1) % MOD;
    FOR (bi, 0, 6) FOR (bj, 0, 6) {
        fill (c1, c1 + n + 1, 0);
        fill (c2, c2 + n + 1, 0);
        FOR (i, 1, n) fill (cnt[i], cnt[i] + n + 1, 0);
        FOR (i, 1, q) {
            auto [l, r, x] = ask[i];
            if (x >> bi & 1) c1[l]++, c1[r + 1]--;
            if (x >> bj & 1) c2[l]++, c2[r + 1]--;
            if (x >> bi & 1 && x >> bj & 1) {
                cnt[l][l]++, cnt[l][r + 1]--;
                cnt[r + 1][l]--, cnt[r + 1][r + 1]++;
            }
        }
        FOR (i, 1, n) {
            c1[i] += c1[i - 1];
            c2[i] += c2[i - 1];
            FOR (j, 1, n) cnt[i][j] += cnt[i][j - 1];
            FOR (j, 1, n) cnt[i][j] += cnt[i - 1][j];
        }
        FOR (i, 1, n) FOR (j, 1, n) {
            auto [Odd, Even] = cal (cnt[i][j]);
            auto [odd1, even1] = cal (c1[i] - cnt[i][j]);
            auto [odd2, even2] = cal (c2[j] - cnt[i][j]);
            if (a[i] >> bi & 1) swap (odd1, even1);
            if (a[j] >> bj & 1) swap (odd2, even2);
            int val = (1ll * Odd * even1 % MOD * even2 + 1ll * Even * odd1 % MOD * odd2) % MOD;
            val = 1ll * val * pro[q - c1[i] - c2[j] + cnt[i][j]] % MOD;
            val = 1ll * val * min (i, j) % MOD * (n - max (i, j) + 1) % MOD;
            val = 1ll * pro[bi + bj] * val % MOD;
            ans = (ans + val) % MOD;
        }
    }
    cout << ans << '\n';
}

int main() {
    Waimai;
    solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 724 KB Output is correct
7 Correct 11 ms 736 KB Output is correct
8 Correct 11 ms 732 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 2184 KB Output is correct
2 Correct 17 ms 980 KB Output is correct
3 Correct 12 ms 760 KB Output is correct
4 Correct 11 ms 708 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1066 ms 4272 KB Output is correct
2 Correct 1096 ms 4300 KB Output is correct
3 Correct 1058 ms 4300 KB Output is correct
4 Correct 1064 ms 4300 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 340 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 4 ms 468 KB Output is correct
5 Correct 4 ms 468 KB Output is correct
6 Correct 5 ms 468 KB Output is correct
7 Correct 4 ms 468 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 724 KB Output is correct
7 Correct 11 ms 736 KB Output is correct
8 Correct 11 ms 732 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 14 ms 724 KB Output is correct
13 Correct 14 ms 748 KB Output is correct
14 Correct 12 ms 748 KB Output is correct
15 Correct 13 ms 708 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 724 KB Output is correct
7 Correct 11 ms 736 KB Output is correct
8 Correct 11 ms 732 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 4 ms 468 KB Output is correct
13 Correct 4 ms 468 KB Output is correct
14 Correct 5 ms 468 KB Output is correct
15 Correct 4 ms 468 KB Output is correct
16 Correct 14 ms 724 KB Output is correct
17 Correct 14 ms 748 KB Output is correct
18 Correct 12 ms 748 KB Output is correct
19 Correct 13 ms 708 KB Output is correct
20 Correct 356 ms 4912 KB Output is correct
21 Correct 344 ms 4940 KB Output is correct
22 Correct 308 ms 4812 KB Output is correct

Subtask #9
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 724 KB Output is correct
7 Correct 11 ms 736 KB Output is correct
8 Correct 11 ms 732 KB Output is correct
9 Correct 64 ms 2184 KB Output is correct
10 Correct 17 ms 980 KB Output is correct
11 Correct 12 ms 760 KB Output is correct
12 Correct 11 ms 708 KB Output is correct
13 Correct 1066 ms 4272 KB Output is correct
14 Correct 1096 ms 4300 KB Output is correct
15 Correct 1058 ms 4300 KB Output is correct
16 Correct 1064 ms 4300 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 4 ms 468 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 5 ms 468 KB Output is correct
23 Correct 4 ms 468 KB Output is correct
24 Correct 14 ms 724 KB Output is correct
25 Correct 14 ms 748 KB Output is correct
26 Correct 12 ms 748 KB Output is correct
27 Correct 13 ms 708 KB Output is correct
28 Correct 356 ms 4912 KB Output is correct
29 Correct 344 ms 4940 KB Output is correct
30 Correct 308 ms 4812 KB Output is correct
31 Correct 1185 ms 6900 KB Output is correct
32 Correct 1170 ms 6984 KB Output is correct
33 Correct 1134 ms 6816 KB Output is correct
34 Correct 1146 ms 6844 KB Output is correct
35 Correct 1149 ms 6704 KB Output is correct
36 Correct 1140 ms 6688 KB Output is correct