Submission #679513

#	Time	Username	Problem	Language	Result	Execution time	Memory
679513		grandmast3r	Intergalactic ship (IZhO19_xorsum)	C++17	19 / 100	1828 ms	262144 KiB

xorsum

#include <bits/stdc++.h>
 
#define ll long long
#define ld long double
#define vi vector<int>
#define pii pair<int, int>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
 
using namespace std;
 
const int MOD = 1e9 + 7;
 
int add(int a, int b){
    a += b;
    if (a >= MOD){
        a -= MOD;
    }
    return a;
}
 
int sub(int a, int b){
    a -= b;
    if (a < 0){
        a += MOD;
    }
    return a;
}
 
int mul(int a, int b){
    return (a * 1ll * b) % MOD;
}
 
int naive(vector<int> a, vector<vector<int>> req){
    int n = a.size() - 1;
    int q = req.size();
    int res = 0;
    for (int i = 1; i <= n; i++){
        for (int j = i; j <= n; j++){
            vector<vector<vector<int>>> dp0((1 << 7), vector<vector<int>>(7, vector<int>(2)));
            vector<vector<vector<int>>> dp1((1 << 7), vector<vector<int>>(7, vector<int>(2)));
            for (int k = 0; k < 7; k++){
                dp0[a[i]][k][bool(a[j] & (1 << k))]++;
            }
            for (int w = 0; w < q; w++){
                dp1 = dp0;
                int x = 0;
                int y = 0;
                if (req[w][0] <= i && i <= req[w][1]){
                    x = req[w][2];
                }
                if (req[w][0] <= j && j <= req[w][1]){
                    y = req[w][2];
                }
                for (int s = 0; s < (1 << 7); s++){
                    for (int k = 0; k < 7; k++){
                        if (y & (1 << k)){
                            swap(dp0[s][k][0], dp0[s][k][1]);
                        }
                        dp1[s ^ x][k][0] = add(dp1[s ^ x][k][0], dp0[s][k][0]);
                        dp1[s ^ x][k][1] = add(dp1[s ^ x][k][1], dp0[s][k][1]);
                    }
                }
                dp1.swap(dp0);
            }
            int segcnt = mul(i, n - j + 1);
            int t = mul(segcnt, 1 + (i != j));
            for (int s = 0; s < (1 << 7); s++){
                for (int k = 0; k < 7; k++){
                    res = add(res, mul(mul(s, mul(dp0[s][k][1], (1 << k))), t));
                }
            }
        }
    }
    return res;
}

vector<vector<vector<int>>> pref;

int count(int x, int i1, int j1, int i2, int j2){
    if (i1 > i2 || j1 > j2){
        return 0;
    }
    return pref[x][i2][j2] - pref[x][i1 - 1][j2] - pref[x][i2][j1 - 1] + pref[x][i1 - 1][j1 - 1];
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    #ifdef ON_PC
        freopen("input.txt", "r", stdin);
    #endif
    // freopen("output.txt", "w", stdout);
    vector<int> pw2(1e3 + 10);
    pw2[0] = 1;
    for (int i = 1; i < 1e3 + 10; i++){
        pw2[i] = mul(pw2[i - 1], 2);
    }
    int T = 1;
    // cin >> T;
    while (T--){
        int n;
        cin >> n;
        int cntbit = 5;
        vector<int> a(n + 1);
        for (int i = 1; i <= n; i++){
            cin >> a[i];
            // if (a[i]){
            //     cntbit = max(cntbit, (int)(32 - __builtin_clz(a[i])));
            // }
        }
        int q;
        cin >> q;
        vector<vector<int>> req(q);
        for (int id = 0; id < q; id++){
            req[id].resize(3);
            for (int i = 0; i < 3; i++){
                cin >> req[id][i];
            }
            // if (req[id][2]){
            //     cntbit = max(cntbit, (int)(32 - __builtin_clz(req[id][2])));
            // }
        }
        #ifdef ON_PC
            cout << naive(a, req) << "\n";
        #endif
        pref = vector<vector<vector<int>>>((1 << cntbit), vector<vector<int>>(n + 1, vector<int>(n + 1)));
        for (int i = 0; i < q; i++){
            pref[req[i][2]][req[i][0]][req[i][1]]++;
        }
        for (int x = 0; x < (1 << cntbit); x++){
            for (int i = 1; i <= n; i++){
                for (int j = 1; j <= n; j++){
                    pref[x][i][j] += pref[x][i][j - 1];
                }
            }
            for (int j = 1; j <= n; j++){
                for (int i = 1; i <= n; i++){
                    pref[x][i][j] += pref[x][i - 1][j];
                }
            }
        }
        int res = 0;
        for (int i = 1; i <= n; i++){
            for (int j = i; j <= n; j++){
                vector<vector<vector<int>>> dp0((1 << cntbit), vector<vector<int>>(cntbit, vector<int>(2)));
                vector<vector<vector<int>>> dp1((1 << cntbit), vector<vector<int>>(cntbit, vector<int>(2)));
                for (int k = 0; k < cntbit; k++){
                    dp0[a[i]][k][bool(a[j] & (1 << k))]++;
                }
                vector<vector<vector<int>>> qcnt((1 << cntbit), vector<vector<int>>(2, vector<int>(2)));
                for (int s = 0; s < (1 << cntbit); s++){
                    qcnt[s][0][0] = count(s, 1, 1, i - 1, i - 1) + 
                                count(s, i + 1, i + 1, j - 1, j - 1) + 
                                count(s, j + 1, j + 1, n, n);
                    qcnt[s][0][1] = count(s, i + 1, j, j, n);
                    qcnt[s][1][0] = count(s, 1, i, i, j - 1);
                    qcnt[s][1][1] = count(s, 1, j, i, n);
                }
                // for (int w = 0; w < q; w++){
                //     qcnt[req[w][2]][(req[w][0] <= i && i <= req[w][1])][(req[w][0] <= j && j <= req[w][1])]++;
                // }
                for (int h = 0; h < (1 << cntbit); h++){
                    for (int i1 = 0; i1 <= 1; i1++){
                        for (int i2 = 0; i2 <= 1; i2++){
                            dp1 = dp0;
                            int x = h * i1;
                            int y = h * i2;
                            int cnt = qcnt[h][i1][i2];
                            if (cnt){
                                for (int s = 0; s < (1 << cntbit); s++){
                                    for (int k = 0; k < cntbit; k++){
                                        if (y & (1 << k)){
                                            swap(dp0[s][k][0], dp0[s][k][1]);
                                        }
                                        dp1[s ^ x][k][0] = add(dp1[s ^ x][k][0], mul(pw2[cnt - 1], dp0[s][k][0]));
                                        dp1[s ^ x][k][1] = add(dp1[s ^ x][k][1], mul(pw2[cnt - 1], dp0[s][k][1]));

                                        if (y & (1 << k)){
                                            swap(dp0[s][k][0], dp0[s][k][1]);
                                        }
                                        dp1[s][k][0] = add(dp1[s][k][0], mul(sub(pw2[cnt - 1], 1), dp0[s][k][0]));
                                        dp1[s][k][1] = add(dp1[s][k][1], mul(sub(pw2[cnt - 1], 1), dp0[s][k][1]));
                                    }
                                }
                            }   
                            dp1.swap(dp0);
                        }
                    }
                }
                int segcnt = mul(i, n - j + 1);
                int t = mul(segcnt, 1 + (i != j));
                for (int s = 0; s < (1 << cntbit); s++){
                    for (int k = 0; k < cntbit; k++){
                        res = add(res, mul(mul(s, mul(dp0[s][k][1], (1 << k))), t));
                    }
                }
            }
        }
        cout << res << "\n";
    }
    return 0;
}

• Subtask 1: 0 / 4
• Subtask 2: 0 / 5
• Subtask 3: 0 / 6
• Subtask 4: 0 / 9
• Subtask 5: 8 / 8
• Subtask 6: 11 / 11
• Subtask 7: 0 / 19
• Subtask 8: 0 / 30
• Subtask 9: 0 / 8