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Submission #564572

# Submission time Handle Problem Language Result Execution time Memory
564572 2022-05-19T11:18:46 Z Stickfish Intergalactic ship (IZhO19_xorsum) C++17
92 / 100
 1629 ms 4096 KB 
#include <iostream>
#include <vector>
#include <map>
#include <bitset>
#include <cassert>
using namespace std;
using ll = long long;
using ull = unsigned long long;

const int MAXN = 1008;
const ll MOD = 1000000007;
const int MAXVAL = 128;
const int HEY = MAXVAL * 3;
int a[MAXN];

void updt(bitset<MAXVAL>& bs, int t) {
    if (bs[bs._Find_first() ^ t])
        return;
    if (bs.count() == 64) {
        for (int i = 0; i < MAXVAL; ++i)
            bs[i] = 1;
        return;
    }
    int sz = bs.count();
    for (int i = bs._Find_first(); i < MAXVAL; ++i) {
        if (bs[i])
            bs[i ^ t] = bs[i];
    }
}

ll pw(ll a, ll m) {
    if (!m)
        return 1;
    a %= MOD;
    if (m % 2)
        return a * pw(a, m - 1) % MOD;
    return pw(a * a, m / 2);
}

bool in(pair<int, int> sg, int i) {
    return sg.first <= i && i < sg.second;
}

vector<pair<int, int>> events[MAXN];
int change_ij[MAXN][MAXVAL];
int change_i[MAXN][MAXVAL];
int change_j[MAXN][MAXVAL];

struct sixple {
    ull first;
    ull second;
    ull third;
    ull fourth;
    ull fifth;
    ull sixth;

    bool operator<(sixple& s) {
        if (first != s.first)
            return first < s.first;
        if (second != s.second)
            return second < s.second;
        if (third != s.third)
            return third < s.third;
        if (fourth != s.fourth)
            return fourth < s.fourth;
        if (fifth != s.fifth)
            return fifth < s.fifth;
        return sixth < s.sixth;
    }
};

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int n;
    cin >> n;
    for (int i = 0; i < n; ++i)
        cin >> a[i];
    int q;
    cin >> q;
    for (int i = 0; i < q; ++i) {
        int l, r, x;
        cin >> l >> r >> x;
        --l;
        events[l].push_back({r, x});
        events[r].push_back({l, x});
        ++change_j[l][x];
        --change_j[r][x];
    }
    ll ans = 0;
    vector<int> genij0(MAXVAL, 0);
    bitset<MAXVAL> genbsij0;
    for (int i = 0; i < n; ++i) {
        for (auto [e, x] : events[i]) {
            if (e < i)
                genbsij0[x] = --genij0[x];
            else {
                genbsij0[x] = ++genij0[x];
                --change_ij[e][x];
                ++change_j[e][x];
                ++change_i[e][x];
            }
        }
        vector<int> geni(MAXVAL);
        vector<int> genj(MAXVAL);
        vector<int> genij = genij0;

        for (int j = i; j < n; ++j) {
            if (j > i) {
                for (int x = 0; x < 128; ++x) {
                    genij[x] += change_ij[j][x];
                    geni[x] += change_i[j][x];
                    genj[x] += change_j[j][x];
                }
            }
            bitset<MAXVAL> bsi;
            bitset<MAXVAL> bsj;
            bitset<MAXVAL> bsij;
            bsi[a[i]] = bsj[a[j]] = bsij[0] = 1;
            for (int xi = 0; xi < MAXVAL; ++xi) {
                if (geni[xi])
                    updt(bsi, xi);
                if (bsi.count() == 128)
                    break;
            }
            for (int xj = 0; xj < MAXVAL; ++xj) {
                if (genj[xj])
                    updt(bsj, xj);
                if (bsj.count() == 128)
                    break;
            }
            if (n > 500 && q > 500)
                continue;
            for (int xij = 0; xij < MAXVAL; ++xij) {
                if (genij[xij])
                    updt(bsij, xij);
                if (bsij.count() == 128)
                    break;
            }
            ll addans = 0;
            if (bsij.count() == 128 && (bsi.count() == 128 || bsj.count() == 128)) {
                if (bsi.count() == 128) {
                    addans += 64ll * 127 * 64 * 127 * bsj.count();
                } else {
                    addans += 64ll * 127 * 64 * 127 * bsi.count();
                }
            } else {
                vector<int> xj_from_xij(MAXVAL);
                for (int xij = bsij._Find_first(); xij < MAXVAL; xij = bsij._Find_next(xij)) {
                    if (bsj.count() == 128) {
                        xj_from_xij[xij] = 64 * 127;
                    } else {
                        for (int xj = bsj._Find_first(); xj < MAXVAL; xj = bsj._Find_next(xj)) {
                            xj_from_xij[xij] += xj ^ xij;
                        }
                    }
                }
                for (int xij = bsij._Find_first(); xij < MAXVAL; xij = bsij._Find_next(xij)) {
                    if (bsi.count() == 128) {
                        addans += xj_from_xij[xij] * 64 * 127;
                    } else {
                        for (int xi = bsi._Find_first(); xi < MAXVAL; xi = bsi._Find_next(xi)) {
                            addans += xj_from_xij[xij] * (xi ^ xij);
                        }
                    }
                    addans %= MOD;
                }
            }
            if (i != j) {
                addans *= 2;
            }
            addans *= (i + 1) * (n - j);
            addans %= MOD;
            addans *= pw(2, q);
            addans %= MOD;
            //cout << bsi.count() << ' ' << bsj.count() << ' ' << bsij.count() << endl;
            addans *= pw(bsi.count() * bsj.count() * bsij.count(), MOD - 2);
            ans += addans;
            ans %= MOD;
            //cout << i << ' ' << j << ": " << ans - ans0 << endl;
        }
    }
    cout << ans << endl;
}

Compilation message

xorsum.cpp: In function 'void updt(std::bitset<128>&, int)':
xorsum.cpp:24:9: warning: unused variable 'sz' [-Wunused-variable]
   24 |     int sz = bs.count();
      |         ^~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 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 1 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 19 ms 340 KB Output is correct
7 Correct 14 ms 380 KB Output is correct
8 Correct 15 ms 436 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 2484 KB Output is correct
2 Correct 25 ms 728 KB Output is correct
3 Correct 21 ms 476 KB Output is correct
4 Correct 19 ms 432 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1391 ms 1756 KB Output is correct
2 Correct 1293 ms 1892 KB Output is correct
3 Correct 1283 ms 1448 KB Output is correct
4 Correct 1264 ms 1000 KB Output is correct

Subtask #5
8.0 / 8.0

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

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 8 ms 572 KB Output is correct
5 Correct 8 ms 468 KB Output is correct
6 Correct 8 ms 468 KB Output is correct
7 Correct 9 ms 596 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 1 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 19 ms 340 KB Output is correct
7 Correct 14 ms 380 KB Output is correct
8 Correct 15 ms 436 KB Output is correct
9 Correct 3 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 32 ms 468 KB Output is correct
13 Correct 33 ms 468 KB Output is correct
14 Correct 23 ms 412 KB Output is correct
15 Correct 63 ms 500 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 1 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 19 ms 340 KB Output is correct
7 Correct 14 ms 380 KB Output is correct
8 Correct 15 ms 436 KB Output is correct
9 Correct 3 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 8 ms 572 KB Output is correct
13 Correct 8 ms 468 KB Output is correct
14 Correct 8 ms 468 KB Output is correct
15 Correct 9 ms 596 KB Output is correct
16 Correct 32 ms 468 KB Output is correct
17 Correct 33 ms 468 KB Output is correct
18 Correct 23 ms 412 KB Output is correct
19 Correct 63 ms 500 KB Output is correct
20 Correct 695 ms 3252 KB Output is correct
21 Correct 574 ms 3300 KB Output is correct
22 Correct 603 ms 3284 KB Output is correct

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 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 19 ms 340 KB Output is correct
7 Correct 14 ms 380 KB Output is correct
8 Correct 15 ms 436 KB Output is correct
9 Correct 43 ms 2484 KB Output is correct
10 Correct 25 ms 728 KB Output is correct
11 Correct 21 ms 476 KB Output is correct
12 Correct 19 ms 432 KB Output is correct
13 Correct 1391 ms 1756 KB Output is correct
14 Correct 1293 ms 1892 KB Output is correct
15 Correct 1283 ms 1448 KB Output is correct
16 Correct 1264 ms 1000 KB Output is correct
17 Correct 3 ms 340 KB Output is correct
18 Correct 3 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 8 ms 572 KB Output is correct
21 Correct 8 ms 468 KB Output is correct
22 Correct 8 ms 468 KB Output is correct
23 Correct 9 ms 596 KB Output is correct
24 Correct 32 ms 468 KB Output is correct
25 Correct 33 ms 468 KB Output is correct
26 Correct 23 ms 412 KB Output is correct
27 Correct 63 ms 500 KB Output is correct
28 Correct 695 ms 3252 KB Output is correct
29 Correct 574 ms 3300 KB Output is correct
30 Correct 603 ms 3284 KB Output is correct
31 Incorrect 1629 ms 4096 KB Output isn't correct
32 Halted 0 ms 0 KB -