Submission #376261

#TimeUsernameProblemLanguageResultExecution timeMemory
376261ijxjdjdIntergalactic ship (IZhO19_xorsum)C++14
0 / 100
1386 ms5944 KiB
#include <bits/stdc++.h> #define FR(i, N) for (int i = 0; i < int(N); i++) #define all(x) begin(x), end(x) using namespace std; using ll = long long; const int MAXK = 7; const int MAXN = 1000 + 5; const int MAXQ = (int)(1e5) + 5; int flip[MAXN][MAXK]; int dblflip[MAXN][MAXK][MAXK]; int cur[MAXK][MAXK]; int mv[MAXK][MAXK]; bool arr[MAXN][MAXK]; vector<pair<int, int>> add[MAXN]; vector<pair<int, int>> rem[MAXN]; ll pows[MAXQ]; ll MOD = (int)(1e9) + 7; ll even(ll i) { if (i == 0) { return 1; } else { return pows[i-1]; } } ll odd(ll i) { if (i == 0) { return 0; } else { return pows[i-1]; } } ll mul(ll a, ll b) { return (a*b)%MOD; } int main() { pows[0] = 1; for (int i = 1; i < MAXQ; i++) { pows[i] = 2*pows[i-1]; pows[i] %= MOD; } cin.tie(0); cin.sync_with_stdio(0); int N; cin >> N; for (int i = 0; i < N; i++) { int a; cin >> a; for (int j = 0; j < MAXK; j++) { arr[i][j] = ((1<<j)&(a)); } } int Q; cin >> Q; for (int i = 0; i < Q; i++) { int l, r, x; cin >> l >> r >> x; l--, r--; add[l].push_back({r, x}); for (int j = 0; j < MAXK; j++) { if ((1<<j)&x) { flip[l][j]++; flip[r+1][j]--; } } } for (int i = 0; i < MAXK; i++) { for (int j = 1; j < N; j++) { flip[j][i] += flip[j-1][i]; } } ll res = 0; for (int i = 0; i < N; i++) { for (auto& p : add[i]) { for (int j = 0; j < MAXK; j++) { for (int k = 0; k < MAXK; k++) { if (((1<<j)&p.second) && ((1<<k)&p.second)) { cur[j][k]++; dblflip[p.first+1][j][k]--; rem[p.first+1].push_back({i, p.second}); } } } } for (auto& p : rem[i]) { for (int j = 0; j < MAXK; j++) { for (int k = 0; k < MAXK; k++) { if (((1<<j)&p.second) && ((1<<k)&p.second)) { cur[j][k]--; } } } } for (int j = 0; j < MAXK; j++) { for (int k = 0; k < MAXK; k++) { mv[j][k] = cur[j][k]; } } for (int j = i; j < N; j++) { if (j != i) { for (int b1 = 0; b1 < MAXK; b1++) { for (int b2 = 0; b2 < MAXK; b2++) { mv[b1][b2] += dblflip[j][b1][b2]; } } } for (int b1 = 0; b1 < MAXK; b1++) { for (int b2 = 0; b2 < MAXK; b2++) { int X = flip[i][b1]; int Z = flip[j][b2]; int Y = mv[b1][b2]; X -= Y; Z -= Y; if (arr[i][b1] && arr[j][b2]) { res += mul(i+1, N-j) * (i != j ? 2 : 1)*mul(pows[Q-X-Y-Z], mul(pows[b1+b2], (mul(even(X), mul(even(Y), even(Z)))) + mul(odd(Y), mul(odd(X), odd(Z))))); } else if (!arr[i][b1] && arr[j][b2]) { res += mul(i+1, N-j) *(i != j ? 2 : 1)*mul(pows[Q-X-Y-Z], mul(pows[b1+b2], (mul(odd(X), mul(even(Y), even(Z)))) + mul(odd(Y), mul(even(X), odd(Z))))); } else if (arr[i][b1] && !arr[j][b2]) { res += mul(i+1, N-j)*(i != j ? 2 : 1) * mul(pows[Q-X-Y-Z], mul(pows[b1+b2], (mul(even(X), mul(even(Y), odd(Z)))) + mul(odd(Y), mul(odd(X), even(Z))))); } else { res += mul(i+1, N-j) * (i != j ? 2 : 1) * mul(pows[Q-X-Y-Z], mul(pows[b1+b2], (mul(odd(X), mul(even(Y), odd(Z)))) + mul(odd(Y), mul(even(X), even(Z))))); } res %= MOD; } } } } cout << res << '\n'; return 0; }
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