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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#500832 | #6631. Maximum Bitwise OR | hcywoi | WA | 237ms | 3776kb | C++20 | 3.4kb | 2024-08-01 21:24:25 | 2024-08-01 21:24:25 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
constexpr int N = 30;
int id[N][N], cur;
void solve() {
int n, q;
std::cin >> n >> q;
std::vector<int> a(n);
for (int i = 0; i < n; i ++ ) {
std::cin >> a[i];
}
const int M = 30;
std::vector f0(n + 1, std::vector<int>(M, n));
std::vector f1(n + 1, std::vector(M * (M + 1) / 2, n));
for (int i = n - 1; i >= 0; i -- ) {
for (int j = 0; j < M; j ++ ) {
if (a[i] >> j & 1) {
f0[i][j] = i;
} else {
f0[i][j] = f0[i + 1][j];
}
}
for (int j = 0; j < M; j ++ ) {
for (int k = i; k < M; k ++ ) {
f1[i][id[j][k]] = f1[i + 1][id[j][k]];
}
}
int lst = -1;
for (int j = 0; j < M; j ++ ) {
if (a[i] >> j & 1) {
for (int x = lst + 1; x <= j; x ++ ) {
for (int y = x; y <= j; y ++ ) {
f1[i][id[x][y]] = i;
}
}
lst = j;
}
}
}
while (q -- ) {
int l, r;
std::cin >> l >> r;
l --, r -- ;
int t = -1;
for (int i = M - 1; i >= 0; i -- ) {
if (f0[l][i] <= r) {
t = i;
break;
}
}
std::cout << (1 << t + 1) - 1 << " ";
std::vector<int> pos;
pos.push_back(l - 1);
pos.push_back(r + 1);
int os = 0;
int sl = M, sr = -1;
for (int i = 0; i <= t; i ++ ) {
if (f0[l][i] <= r) {
os |= 1 << i;
if (f0[f0[l][i] + 1][i] > r) {
pos.push_back(f0[l][i]);
}
} else {
sl = std::min(sl, i);
sr = std::max(sr, i);
}
}
if (sr == -1) {
std::cout << 0 << "\n";
continue;
}
std::sort(pos.begin(), pos.end());
bool ok = 1;
for (int i = 1; i < pos.size(); i ++ ) {
int L = pos[i - 1], R = pos[i];
L ++ ;
R -- ;
if (L > R) {
continue;
}
if (f1[L][id[sl][sr]] <= R) {
ok = 0;
break;
}
}
for (auto i : pos) {
if (i < l || i > r) {
continue;
}
int nos = os;
for (int j = 0; j < M; j ++ ) {
if (f0[l][j] == i && f0[i + 1][j] > r) {
nos ^= 1 << j;
}
}
for (int j = 0; j < M; j ++ ) {
if ((1 << j) > a[i]) {
break;
}
if ((nos | (a[i] ^ (a[i] - (1 << j)))) == (1 << t + 1) - 1) {
ok = 0;
break;
}
}
}
if (!ok) {
std::cout << 1 << "\n";
} else {
std::cout << 2 << "\n";
}
}
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
for (int i = 0; i < N; i ++ ) {
for (int j = i; j < N; j ++ ) {
id[i][j] = cur ++ ;
}
}
int t;
std::cin >> t;
while (t -- ) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3504kb
input:
1 3 2 10 10 5 1 2 1 3
output:
15 2 15 0
result:
ok 4 number(s): "15 2 15 0"
Test #2:
score: 0
Accepted
time: 234ms
memory: 3776kb
input:
100000 1 1 924704060 1 1 1 1 149840457 1 1 1 1 515267304 1 1 1 1 635378394 1 1 1 1 416239424 1 1 1 1 960156404 1 1 1 1 431278082 1 1 1 1 629009153 1 1 1 1 140374311 1 1 1 1 245014761 1 1 1 1 445512399 1 1 1 1 43894730 1 1 1 1 129731646 1 1 1 1 711065534 1 1 1 1 322643984 1 1 1 1 482420443 1 1 1 1 20...
output:
1073741823 2 268435455 2 536870911 2 1073741823 2 536870911 2 1073741823 2 536870911 2 1073741823 2 268435455 2 268435455 2 536870911 2 67108863 2 134217727 2 1073741823 2 536870911 2 536870911 2 268435455 2 536870911 2 536870911 2 536870911 2 268435455 2 268435455 2 1073741823 2 16777215 2 10737418...
result:
ok 200000 numbers
Test #3:
score: 0
Accepted
time: 237ms
memory: 3552kb
input:
50000 2 2 924896435 917026400 1 2 1 2 2 2 322948517 499114106 1 2 2 2 2 2 152908571 242548777 1 1 1 2 2 2 636974385 763173214 1 2 1 1 2 2 164965132 862298613 1 1 1 2 2 2 315078033 401694789 1 2 1 2 2 2 961358343 969300127 2 2 1 2 2 2 500628228 28065329 1 2 1 2 2 2 862229381 863649944 1 2 2 2 2 2 541...
output:
1073741823 2 1073741823 2 536870911 2 536870911 2 268435455 2 268435455 2 1073741823 2 1073741823 2 268435455 2 1073741823 2 536870911 2 536870911 2 1073741823 2 1073741823 2 536870911 2 536870911 2 1073741823 2 1073741823 2 1073741823 2 268435455 2 536870911 2 536870911 2 1073741823 2 1073741823 2 ...
result:
ok 200000 numbers
Test #4:
score: 0
Accepted
time: 236ms
memory: 3644kb
input:
33333 3 3 925088809 339284112 289540728 3 3 1 3 1 1 3 3 422399522 892365243 216341776 3 3 3 3 1 2 3 3 668932010 837523227 840095874 1 3 1 3 3 3 3 3 731584574 357877180 359063739 1 1 1 1 3 3 3 3 463358343 833924976 847087403 2 3 3 3 1 2 3 3 377154649 772000701 656357011 2 3 1 2 2 3 3 3 977492169 5540...
output:
536870911 2 1073741823 2 1073741823 2 268435455 2 268435455 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 536870911 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 67108863 2 1073741823 2 1073741...
result:
ok 199998 numbers
Test #5:
score: 0
Accepted
time: 224ms
memory: 3564kb
input:
20000 5 5 925473558 183799537 561353092 858424993 765513347 2 4 1 1 1 2 3 5 1 4 5 5 141075166 375934371 754066286 663820319 906342255 3 5 1 1 4 5 1 4 2 3 5 5 417114008 270241961 121113861 381529080 772448388 1 3 1 1 2 5 5 5 2 2 5 5 668136057 138968211 856562545 187058570 699131353 4 5 3 4 5 5 2 4 3 ...
output:
1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 268435455 2 1073741823 2 1073741823 2 1073741823 2 536870911 2 536870911 2 1073741823 2 1073741823 2 536870911 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 1073741823 2 268435455 2 107374...
result:
ok 200000 numbers
Test #6:
score: -100
Wrong Answer
time: 185ms
memory: 3640kb
input:
10000 10 10 464850425 447664857 363029101 653457810 349421643 98326037 214053360 578140626 808807764 145448013 7 9 9 10 8 10 3 7 9 10 5 8 3 3 4 5 5 9 5 6 10 10 164710533 415965867 931056007 328603885 862991829 82082068 344198824 831587464 105221046 931994543 3 10 3 6 2 5 1 8 2 5 2 4 1 4 2 9 4 7 2 10...
output:
1073741823 2 1073741823 2 1073741823 2 1073741823 0 1073741823 2 1073741823 0 536870911 2 1073741823 2 1073741823 0 536870911 2 1073741823 1 1073741823 2 1073741823 0 1073741823 0 1073741823 0 1073741823 2 1073741823 2 1073741823 0 1073741823 2 1073741823 0 1073741823 0 1073741823 0 1073741823 2 107...
result:
wrong answer 37120th numbers differ - expected: '1', found: '2'