oj.uz

Submission #348561

# Submission time Handle Problem Language Result Execution time Memory
348561 2021-01-15T08:20:41 Z 2qbingxuan Intergalactic ship (IZhO19_xorsum) C++14
92 / 100
 2000 ms 50128 KB 
#pragma GCC optimize("Ofast")
#pragma GCC targat("avx2")
#pragma loop_opt(on)
#include <bits/stdc++.h>
#ifdef local
#define debug(args...) qqbx(#args, args)
template <typename ...T> void qqbx(const char *s, T ...args) {
    int cnt = sizeof...(T);
    ((std::cerr << "(" << s << ") = (") , ... , (std::cerr << args << (--cnt ? ", " : ")\n")));
}
#define TAK(args...) std::ostream &operator<<(std::ostream &O, args)
#define NIE(STL, BEG, END, OUT) template <typename ...T> TAK(std::STL<T...> v) \
    { int f=0; O << BEG; for(auto e: v) O << (f++ ? ", " : "") << OUT; return O << END; }
NIE(vector, "[", "]", e)
NIE(map, "{", "}", e.first << ',' << e.second)
template <typename T, size_t N> TAK(std::array<T,N> v) { return O << std::vector<T>(v.begin(), v.end()); }
#else
#define debug(...) ((void)0)
#define safe ((void)0)
#endif // local
#define pb emplace_back
#define all(v) begin(v),end(v)
#define int ll

using namespace std;
using ll = long long;
using ld = double;
const int N = 100002, MOD = 1000000007;
const ll INF = 1e18;
const ld PI = acos(-1);

struct Basis {
    vector<int> b;
    array<int,7> cnt;
    Basis() : b(), cnt{} {}
    Basis & operator+=(int x) {
        for(int y: b)
            x = min(x, x^y);
        if(x) {
            b.pb(x);
            for(int j = 0; j < 7; j++) if(x >> j & 1) ++cnt[j];
        }
        return *this;
    }
    vector<int> span() const {
        int n = b.size();
        vector<int> res(1<<n);
        for(int i = 0; i < n; i++) res[1<<i] = b[i];
        for(int i = 1; i < (1<<n); i++) res[i] = res[i&-i] ^ res[i-(i&-i)];
        return res;
    }
    int size() const { return b.size(); }
    int calc(int x) {
        // return sum(y^x for y in span());
        int res = 0;
        // for(int y: span())
        //     res += y ^ x;
        // return res;
        auto take = [](int n, int d) {
            if(n == 0) return d ? 0 : 1;
            return 1 << n-1;
        };
        int n = b.size();
        for(int j = 0; j < 7; j++)
            res += (1<<j) * (1<<(n-cnt[j])) * take(cnt[j], ~x>>j&1);
        return res;
    }
};

int cnt[1005][1005];
bitset<128> bA[1005][1005], bB[1005][1005], bC[1005][1005];
int query(int pre[][1005], int lx, int ly, int rx, int ry) {
    return pre[rx][ry] - (lx ? pre[lx-1][ry] : 0) - (ly ? pre[rx][ly-1] : 0) + (lx && ly ? pre[lx-1][ly-1] : 0);
}
signed main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    int n, q;
    cin >> n;
    vector<int> a(n);
    for(int i = 0; i < n; i++) cin >> a[i];
    cin >> q;
    vector<int> pw(q+1);
    pw[0] = 1;
    for(int i = 1; i <= q; i++) pw[i] = pw[i-1] * 2LL % MOD;
    vector<tuple<int,int,int>> Qs(q);
    vector<tuple<int,int,int>> evt;
    for(auto &[l, r, x]: Qs) {
        cin >> l >> r >> x;
        --l, --r;
        evt.pb(l, 1, x);
        evt.pb(r+1, -1, x);
    }

    int ans = 0;
    sort(all(evt));
    map<int,int> mp;
    for(int i = 0, j = 0; i < n; i++) {
        while(j < q*2 && get<0>(evt[j]) <= i) {
            auto [_, v, x] = evt[j++];
            if(_ != i) continue;
            mp[x] += v;
            if(mp[x] == 0) mp.erase(x);
        }
        debug(mp);
        Basis b;
        // make basis
        for(auto [val, cnt]: mp)
            b += val;
        // enumerate basis
        int cnt = 1LL * pw[q - b.size()] * (i+1) * (n-i);
        for(int x: b.span()) {
            int ai = a[i] ^ x;
            ans = (ans + 1LL * ai * ai * cnt) % MOD;
            debug(ai, cnt);
        }
    }
    
    for(int b = 0; b < 128; b++) {
        for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) cnt[i][j] = 0;
        for(auto [l, r, x]: Qs) if(x == b) cnt[l][r] += 1;
        for(int i = 0; i < n; i++) {
            for(int j = 0; j < n; j++) {
                if(i) cnt[i][j] += cnt[i-1][j];
                if(j) cnt[i][j] += cnt[i][j-1];
                if(i && j) cnt[i][j] -= cnt[i-1][j-1];
            }
        }
        for(int i = 0; i < n; i++) {
            for(int j = i+1; j < n; j++) {
                if(query(cnt, 0, j, i, n-1))
                    bC[i][j][b] = true;
                if(query(cnt, 0, i, i, j-1))
                    bA[i][j][b] = true;
                if(query(cnt, i+1, j, j, n-1))
                    bB[i][j][b] = true;
            }
        }
    }

    auto calc = [&](int i, int j) {
        /*
        for(auto [l, r, x]: Qs) {
            if(l <= i && j <= r) {
                C += x;
            } else if(l <= i && r >= i && r < j) {
                A += x;
            } else if(l > i && l <= j && r >= j) {
                debug(l, r, i, j);
                B += x;
            }
        }
        */
        Basis A, B, C;
        for(int b = 0; b < 128; b++) {
            if(bA[i][j][b])
                A += b;
            if(bB[i][j][b])
                B += b;
            if(bC[i][j][b])
                C += b;
        }
        int res = 0;
        for(int x: C.span()) {
            int ai = a[i] ^ x, aj = a[j] ^ x;
            debug(ai, aj);
            res = (res + 1LL * A.calc(ai) * B.calc(aj)) % MOD;
        }
        debug(res);
        return 1LL * res * pw[q - (C.size() + A.size() + B.size())] % MOD;
    };

    for(int i = 0; i < n; i++) {
        for(int j = i+1; j < n; j++) {
            int cnt = 2 * (i+1) * (n-j);
            ans = (ans + 1LL * calc(i, j) * cnt) % MOD;
        }
    }

    cout << ans << '\n';
}

Compilation message

xorsum.cpp:2: warning: ignoring #pragma GCC targat [-Wunknown-pragmas]
    2 | #pragma GCC targat("avx2")
      | 
xorsum.cpp:3: warning: ignoring #pragma loop_opt  [-Wunknown-pragmas]
    3 | #pragma loop_opt(on)
      | 
xorsum.cpp: In lambda function:
xorsum.cpp:61:26: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   61 |             return 1 << n-1;
      |                         ~^~
xorsum.cpp: In function 'int main()':
xorsum.cpp:87:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   87 |     for(auto &[l, r, x]: Qs) {
      |               ^
xorsum.cpp:99:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   99 |             auto [_, v, x] = evt[j++];
      |                  ^
xorsum.cpp:107:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  107 |         for(auto [val, cnt]: mp)
      |                  ^
xorsum.cpp:120:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  120 |         for(auto [l, r, x]: Qs) if(x == b) cnt[l][r] += 1;
      |                  ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 364 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 2048 KB Output is correct
7 Correct 9 ms 1388 KB Output is correct
8 Correct 10 ms 1900 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 79 ms 9824 KB Output is correct
2 Correct 21 ms 2788 KB Output is correct
3 Correct 13 ms 1772 KB Output is correct
4 Correct 10 ms 1644 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1187 ms 33132 KB Output is correct
2 Correct 1201 ms 31980 KB Output is correct
3 Correct 1144 ms 28140 KB Output is correct
4 Correct 1154 ms 28908 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 876 KB Output is correct
2 Correct 2 ms 748 KB Output is correct
3 Correct 2 ms 748 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 876 KB Output is correct
2 Correct 2 ms 748 KB Output is correct
3 Correct 2 ms 748 KB Output is correct
4 Correct 5 ms 1388 KB Output is correct
5 Correct 5 ms 1388 KB Output is correct
6 Correct 5 ms 1388 KB Output is correct
7 Correct 5 ms 1388 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 2048 KB Output is correct
7 Correct 9 ms 1388 KB Output is correct
8 Correct 10 ms 1900 KB Output is correct
9 Correct 2 ms 876 KB Output is correct
10 Correct 2 ms 748 KB Output is correct
11 Correct 2 ms 748 KB Output is correct
12 Correct 29 ms 2284 KB Output is correct
13 Correct 29 ms 2284 KB Output is correct
14 Correct 13 ms 1900 KB Output is correct
15 Correct 20 ms 2284 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 2048 KB Output is correct
7 Correct 9 ms 1388 KB Output is correct
8 Correct 10 ms 1900 KB Output is correct
9 Correct 2 ms 876 KB Output is correct
10 Correct 2 ms 748 KB Output is correct
11 Correct 2 ms 748 KB Output is correct
12 Correct 5 ms 1388 KB Output is correct
13 Correct 5 ms 1388 KB Output is correct
14 Correct 5 ms 1388 KB Output is correct
15 Correct 5 ms 1388 KB Output is correct
16 Correct 29 ms 2284 KB Output is correct
17 Correct 29 ms 2284 KB Output is correct
18 Correct 13 ms 1900 KB Output is correct
19 Correct 20 ms 2284 KB Output is correct
20 Correct 1033 ms 24288 KB Output is correct
21 Correct 626 ms 21840 KB Output is correct
22 Correct 898 ms 24144 KB Output is correct

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 2048 KB Output is correct
7 Correct 9 ms 1388 KB Output is correct
8 Correct 10 ms 1900 KB Output is correct
9 Correct 79 ms 9824 KB Output is correct
10 Correct 21 ms 2788 KB Output is correct
11 Correct 13 ms 1772 KB Output is correct
12 Correct 10 ms 1644 KB Output is correct
13 Correct 1187 ms 33132 KB Output is correct
14 Correct 1201 ms 31980 KB Output is correct
15 Correct 1144 ms 28140 KB Output is correct
16 Correct 1154 ms 28908 KB Output is correct
17 Correct 2 ms 876 KB Output is correct
18 Correct 2 ms 748 KB Output is correct
19 Correct 2 ms 748 KB Output is correct
20 Correct 5 ms 1388 KB Output is correct
21 Correct 5 ms 1388 KB Output is correct
22 Correct 5 ms 1388 KB Output is correct
23 Correct 5 ms 1388 KB Output is correct
24 Correct 29 ms 2284 KB Output is correct
25 Correct 29 ms 2284 KB Output is correct
26 Correct 13 ms 1900 KB Output is correct
27 Correct 20 ms 2284 KB Output is correct
28 Correct 1033 ms 24288 KB Output is correct
29 Correct 626 ms 21840 KB Output is correct
30 Correct 898 ms 24144 KB Output is correct
31 Execution timed out 2100 ms 50128 KB Time limit exceeded
32 Halted 0 ms 0 KB -