oj.uz

답안 #229831

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
229831 2020-05-06T19:19:48 Z 534351 Intergalactic ship (IZhO19_xorsum) C++17
62 / 100
 2000 ms 2816 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[MAXQ];
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, (1 << 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, V)
        {
            bool lt = false, rt = false;
            for (int x : lb) if (x & (1 << j)) lt = true;
            for (int x : rb) if (x & (1 << j)) rt = true;
            if (lt)
            {
                el = add(el, mul(HALF, (1 << j)));
            }
            else
            {
                bool b = ((x ^ val) & (1 << j));
                if (b) el = add(el, (1 << j));
            }
            if (rt)
            {
                er = add(er, mul(HALF, (1 << j)));
            }
            else
            {
                bool b = ((y ^ val) & (1 << j));
                if (b) er = add(er, (1 << j));
            }
        }
        int p = pwr(HALF, SZ(mb));
        res = add(res, mul(mul(el, er), p));
        //it
    }
    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);
    }
    V = (32 - __builtin_clz(V));
    // 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 + (1 << V), 0);
        fill(both, both + (1 << V), 0);
        fill(rt, rt + (1 << 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

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 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

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 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 10 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
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 199 ms 2808 KB Output is correct
2 Correct 24 ms 640 KB Output is correct
3 Correct 11 ms 384 KB Output is correct
4 Correct 6 ms 384 KB Output is correct

Subtask #4
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 207 ms 384 KB Output is correct
2 Correct 208 ms 468 KB Output is correct
3 Correct 179 ms 384 KB Output is correct
4 Correct 186 ms 384 KB Output is correct

Subtask #5
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct

Subtask #6
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 10 ms 512 KB Output is correct
5 Correct 10 ms 512 KB Output is correct
6 Correct 10 ms 512 KB Output is correct
7 Correct 10 ms 512 KB Output is correct

Subtask #7
19.0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 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 10 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 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 110 ms 452 KB Output is correct
13 Correct 112 ms 504 KB Output is correct
14 Correct 14 ms 384 KB Output is correct
15 Correct 63 ms 384 KB Output is correct

Subtask #8
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 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 10 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 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 10 ms 512 KB Output is correct
13 Correct 10 ms 512 KB Output is correct
14 Correct 10 ms 512 KB Output is correct
15 Correct 10 ms 512 KB Output is correct
16 Correct 110 ms 452 KB Output is correct
17 Correct 112 ms 504 KB Output is correct
18 Correct 14 ms 384 KB Output is correct
19 Correct 63 ms 384 KB Output is correct
20 Execution timed out 2086 ms 2816 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #9
0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 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 10 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 199 ms 2808 KB Output is correct
10 Correct 24 ms 640 KB Output is correct
11 Correct 11 ms 384 KB Output is correct
12 Correct 6 ms 384 KB Output is correct
13 Correct 207 ms 384 KB Output is correct
14 Correct 208 ms 468 KB Output is correct
15 Correct 179 ms 384 KB Output is correct
16 Correct 186 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 10 ms 512 KB Output is correct
21 Correct 10 ms 512 KB Output is correct
22 Correct 10 ms 512 KB Output is correct
23 Correct 10 ms 512 KB Output is correct
24 Correct 110 ms 452 KB Output is correct
25 Correct 112 ms 504 KB Output is correct
26 Correct 14 ms 384 KB Output is correct
27 Correct 63 ms 384 KB Output is correct
28 Execution timed out 2086 ms 2816 KB Time limit exceeded
29 Halted 0 ms 0 KB -