oj.uz

Submission #229819

# Submission time Handle Problem Language Result Execution time Memory
229819 2020-05-06T19:02:08 Z 534351 Intergalactic ship (IZhO19_xorsum) C++17
45 / 100
 1552 ms 504 KB 
#include <bits/stdc++.h>

using namespace std;

template<class T, class U>
void ckmin(T &a, U b)
{
    if (a > b) a = b;
}

template<class T, class U>
void ckmax(T &a, U b)
{
    if (a < b) a = b;
}

#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define SZ(x) ((int) (x).size())
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;

const int MAXN = 1013;
const int MAXV = 129;
const int MAXQ = 100013;
const int INF = 1000000007;
const int HALF = (INF + 1) >> 1;

int add(int a, int b)
{
    a += b; if (a >= INF) a -= INF; return a;
}
int mul(int a, int b)
{
    return (ll) a * b % INF;
}
int sub(int a, int b)
{
    a -= b; if (a < 0) a += INF; return a;
}
int pwr(int a, int b)
{
    int res = 1;
    while(b > 0)
    {
        if (b & 1) res = mul(res, a);
        b >>= 1;
        a = mul(a, a);
    }
    return res;
}
int inv(int a)
{
    return pwr(a, INF - 2);
}
int dvd(int a, int b)
{
    return mul(a, inv(b));
}

int N, Q, V;
int arr[MAXN];
pair<pii, int> query[MAXN];
vi st[MAXN], en[MAXN];
int lt[MAXV], both[MAXV], rt[MAXV];
int ans;

int calc(int x, int y)
{
    vi lb, mb, rb;
    FORD(i, V, 0)
    {
        if (lt[i])
        {
            int w = i;
            for (int x : lb) ckmin(w, w ^ x);
            if (w) lb.PB(w);
        }
        if (both[i])
        {
            int w = i;
            for (int x : mb) ckmin(w, w ^ x);
            if (w) mb.PB(w);
        }
        if (rt[i])
        {
            int w = i;
            for (int x : rb) ckmin(w, w ^ x);
            if (w) rb.PB(w);
        }
    }
    // for (int x : mb)
    // {
    //     cerr << x << ' ';
    // }
    // cerr << endl;
    int res = 0;
    FOR(i, 0, (1 << SZ(mb)))
    {
        int el = 0, er = 0;
        int val = 0;
        FOR(j, 0, SZ(mb))
        {
            if (!(i & (1 << j))) continue;
            val ^= mb[j];
        }
        FOR(j, 0, (1 << SZ(lb)))
        {
            int val1 = 0;
            FOR(k, 0, SZ(lb))
            {
                if (!(j & (1 << k))) continue;
                val1 ^= lb[k];
            }
            el = add(el, x ^ val ^ val1);
        }
        FOR(j, 0, (1 << SZ(rb)))
        {
            int val1 = 0;
            FOR(k, 0, SZ(rb))
            {
                if (!(j & (1 << k))) continue;
                val1 ^= rb[k];
            }
            er = add(er, y ^ val ^ val1);
        }
        int p = pwr(HALF, SZ(mb) + SZ(lb) + SZ(rb));
        res = add(res, mul(mul(el, er), p));
        //it
    }
    // cerr << "result " << res << endl;
    return res;
}
int32_t main()
{
    cout << fixed << setprecision(12);
    cerr << fixed << setprecision(4);
    ios_base::sync_with_stdio(false); cin.tie(0);
    cin >> N;
    FOR(i, 0, N)
    {
        cin >> arr[i];
        ckmax(V, arr[i]);
    }
    cin >> Q;
    FOR(i, 0, Q)
    {
        int l, r, x;
        cin >> l >> r >> x; l--; r--;
        query[i] = {{l, r}, x};
        ckmax(V, x);
        st[l].PB(i);
        en[r].PB(i);
    }
    if (V == 0)
    {
        cout << "0\n";
        return 0;
    }
    V = (1 << (32 - __builtin_clz(V - 1)));
    // cerr << "V = " << V << endl;
    //the last bit probably has smth to do w the fact that you only care about 7 vectors because basis blah blah blah crap.
    FOR(i, 0, N)
    {
        fill(lt, lt + V, 0);
        fill(both, both + V, 0);
        fill(rt, rt + V, 0);
        //it affects left only, both
        FOR(j, 0, Q)
        {
            if (query[j].fi.fi <= i && query[j].fi.se >= i)
            {
                both[query[j].se]++;
            }
        }
        int co = mul(i + 1, N - i);
        // cerr << "solve " << i << ' ' << i << endl;
        ans = add(ans, mul(co, calc(arr[i], arr[i])));
        FOR(j, i + 1, N)
        {
            for (int q : en[j - 1])
            {
                if (query[q].fi.fi <= i)
                {
                    both[query[q].se]--;
                    lt[query[q].se]++;
                }
                else
                {
                    rt[query[q].se]--;
                }
            }
            for (int q : st[j])
            {
                rt[query[q].se]++;
            }
            co = mul(2, mul(i + 1, N - j));
            // cerr << "solve " << i << ' ' << j << " co = " << co << endl;
            ans = add(ans, mul(co, calc(arr[i], arr[j])));
        }
    }
    // cerr << "ans == " << ans << endl;
    FOR(i, 0, Q)
    {
        ans = add(ans, ans);
    }
    cout << ans << '\n';
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 9 ms 384 KB Output is correct
7 Correct 6 ms 384 KB Output is correct
8 Correct 7 ms 384 KB Output is correct

Subtask #3
0 / 6.0

# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 384 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 187 ms 384 KB Output is correct
2 Correct 197 ms 384 KB Output is correct
3 Correct 153 ms 384 KB Output is correct
4 Correct 154 ms 504 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 384 KB Output is correct
2 Correct 7 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct

Subtask #6
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 384 KB Output is correct
2 Correct 7 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Incorrect 5 ms 384 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 9 ms 384 KB Output is correct
7 Correct 6 ms 384 KB Output is correct
8 Correct 7 ms 384 KB Output is correct
9 Correct 6 ms 384 KB Output is correct
10 Correct 7 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 1552 ms 384 KB Output is correct
13 Correct 1550 ms 456 KB Output is correct
14 Correct 30 ms 384 KB Output is correct
15 Correct 376 ms 448 KB Output is correct

Subtask #8
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 9 ms 384 KB Output is correct
7 Correct 6 ms 384 KB Output is correct
8 Correct 7 ms 384 KB Output is correct
9 Correct 6 ms 384 KB Output is correct
10 Correct 7 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Incorrect 5 ms 384 KB Output isn't correct
13 Halted 0 ms 0 KB -

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 9 ms 384 KB Output is correct
7 Correct 6 ms 384 KB Output is correct
8 Correct 7 ms 384 KB Output is correct
9 Incorrect 6 ms 384 KB Output isn't correct
10 Halted 0 ms 0 KB -