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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#530214 | #3276. 出题高手 | liuziao | 0 | 0ms | 0kb | C++20 | 2.9kb | 2024-08-24 15:27:32 | 2024-08-24 15:27:32 |
answer
#include <bits/stdc++.h>
#define int int64_t
const int kMaxN = 5e5 + 5;
struct Frac {
int x, y; // x / y;
Frac(int _x = 0, int _y = 1) {
int d = std::__gcd(_x, _y);
x = _x / d, y = _y / d;
}
friend bool operator <(Frac a, Frac b) { return (__int128_t)a.x * b.y < (__int128_t)a.y * b.x; }
friend bool operator <=(Frac a, Frac b) { return (__int128_t)a.x * b.y <= (__int128_t)a.y * b.x; }
friend bool operator >(Frac a, Frac b) { return (__int128_t)a.x * b.y > (__int128_t)a.y * b.x; }
friend bool operator >=(Frac a, Frac b) { return (__int128_t)a.x * b.y >= (__int128_t)a.y * b.x; }
};
int n, m, q;
Frac mx;
int a[kMaxN], sum[kMaxN], ss[kMaxN], unq[kMaxN], pre[kMaxN][2];
std::vector<std::tuple<int, int, Frac>> vec;
struct BIT1 {
int c[kMaxN];
void upd(int x, int v) {
for (; x <= m; x += x & -x) c[x] = std::max(c[x], v);
}
int qry(int x) {
int ret = 0;
for (; x; x -= x & -x) ret = std::max(ret, c[x]);
return ret;
}
} bit1;
struct BIT2 {
int c[kMaxN];
void upd(int x, int v) {
for (; x; x -= x & -x) c[x] = std::max(c[x], v);
}
int qry(int x) {
int ret = 0;
for (; x <= m; x += x & -x) ret = std::max(ret, c[x]);
return ret;
}
} bit2;
void prework() {
for (int i = 1; i <= n; ++i) {
sum[i] = sum[i - 1] + a[i];
unq[i] = sum[i];
}
std::sort(unq + 1, unq + 1 + n);
m = std::unique(unq + 1, unq + 1 + n) - (unq + 1);
for (int i = 1; i <= n; ++i) ss[i] = std::lower_bound(unq + 1, unq + 1 + m, sum[i]) - unq;
pre[0][0] = pre[0][1] = -1;
for (int i = 1; i <= n; ++i) {
pre[i][0] = bit1.qry(ss[i]);
pre[i][1] = bit2.qry(ss[i]);
bit1.upd(ss[i], i), bit2.upd(ss[i], i);
}
for (int i = 1; i <= n; ++i) {
Frac now = {-1000000000, 1};
for (int j = pre[i][0]; ~j; j = pre[j][0]) {
Frac tmp = Frac((sum[i] - sum[j]) * (sum[i] - sum[j]), i - j);
if (tmp > now) vec.emplace_back(j + 1, i, tmp);
mx = std::max(mx, tmp);
}
now = {-1000000000, 1};
for (int j = pre[i][1]; ~j; j = pre[j][1]) {
Frac tmp = Frac((sum[i] - sum[j]) * (sum[i] - sum[j]), i - j);
if (tmp > now) vec.emplace_back(j + 1, i, tmp);
mx = std::max(mx, tmp);
}
}
}
void dickdreamer() {
std::cin >> n;
for (int i = 1; i <= n; ++i) std::cin >> a[i];
prework();
std::cin >> q;
for (int i = 1; i <= q; ++i) {
int ql, qr;
std::cin >> ql >> qr;
Frac ans = {0, 1};
for (auto [l, r, w] : vec)
if (l >= ql && r <= qr)
ans = std::max(ans, w);
std::cout << ans.x << ' ' << ans.y << '\n';
}
}
int32_t main() {
#ifdef ORZXKR
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif
std::ios::sync_with_stdio(0), std::cin.tie(0), std::cout.tie(0);
int T = 1;
// std::cin >> T;
while (T--) dickdreamer();
// std::cerr << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 0
Time Limit Exceeded
Test #1:
score: 0
Time Limit Exceeded
input:
2000 -113 314 -664 697 211 -199 -38 -190 8 -661 910 -811 -113 942 77 433 -261 -368 129 -525 968 -608 -21 38 -562 438 -935 -228 220 333 985 -430 916 586 764 476 794 664 383 503 206 -60 380 -130 -988 -904 -996 -304 -286 31 114 119 850 -942 714 -369 -842 250 -192 -462 -727 -427 -602 126 231 718 121 559...
output:
54826875 11 14638276 7 1185921 1 81018001 24 6310144 3 12545764 5 3362000 1 23068809 8 23068809 8 12545764 5 1444908 1 5424241 3 1083603 1 2140369 1 2752281 2 3095072 1 3003289 2 4959529 2 17106496 13 4780232 1 89605156 31 8543929 4 129163225 48 5094049 2 68591524 23 8543929 4 35688676 11 3775249 1 ...
result:
Subtask #2:
score: 0
Time Limit Exceeded
Test #6:
score: 0
Time Limit Exceeded
input:
100000 754 792 -680 426 425 347 481 -690 530 378 73 -907 -431 45 -530 -552 440 -890 -15 712 695 -679 -310 13 718 805 193 -291 -877 -74 -355 511 -679 -395 166 -710 -657 -19 874 26 832 507 854 -289 700 -404 472 -302 -977 8 -698 40 766 705 369 838 700 -964 552 -535 -75 -608 -181 -503 468 447 772 904 -2...
output:
result:
Subtask #3:
score: 0
Time Limit Exceeded
Test #11:
score: 0
Time Limit Exceeded
input:
500000 794 -75 -596 -322 -945 -908 -609 -164 488 626 -877 -710 140 -120 -475 -837 738 669 634 -643 -682 667 816 -785 -608 -836 -860 -932 242 70 -620 268 -121 288 209 -392 732 750 558 -480 565 327 -217 -891 767 211 -690 -66 813 -889 952 615 432 19 411 800 678 718 522 422 940 -510 -544 449 -357 640 40...
output:
result:
Subtask #4:
score: 0
Time Limit Exceeded
Test #16:
score: 0
Time Limit Exceeded
input:
100000 -496 -233 354 -632 -196 177 -878 -255 -19 -636 685 -70 101 -975 -406 -988 -965 -205 563 -766 763 511 -116 -746 -129 14 106 928 -457 -257 -283 226 3 899 -359 -792 615 490 -57 986 -243 624 -239 931 -555 -821 -72 -611 -380 -397 248 -132 956 -195 -322 -231 319 -214 837 -379 -931 -301 -4 -673 280 ...
output:
result:
Subtask #5:
score: 0
Time Limit Exceeded
Test #31:
score: 0
Time Limit Exceeded
input:
100000 139 -485 -497 -818 254 169 -560 22 377 -67 -243 -75 743 -788 -676 -26 -775 371 576 -303 54 733 422 800 445 687 479 -16 -288 259 783 -586 912 616 439 -416 676 -555 172 659 501 -868 337 22 -60 260 603 -982 -149 466 769 -595 -117 949 -544 904 753 20 776 175 -888 937 -792 -647 -615 59 -298 452 -6...