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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#282182 | #7872. 崩坏天际线 | hos_lyric# | 30 | 6397ms | 4972kb | C++14 | 7.2kb | 2023-12-11 16:01:58 | 2024-07-04 03:12:27 |
Judging History
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
static constexpr unsigned M = M_;
unsigned x;
constexpr ModInt() : x(0U) {}
constexpr ModInt(unsigned x_) : x(x_ % M) {}
constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////
constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;
// root: min (tie-break: left)
struct MinCartesianTree {
int n, rt;
vector<int> par, lef, rig;
template <class T> void build(int n_, T *as) {
assert(n_ >= 1);
n = n_;
rt = 0;
par.assign(n, -1);
lef.assign(n, -1);
rig.assign(n, -1);
int top = 0;
vector<int> stack(n, 0);
for (int u = 1; u < n; ++u) {
if (as[stack[top]] > as[u]) { // >
for (; top >= 1 && as[stack[top - 1]] > as[u]; --top) {} // >
if (top == 0) {
rt = par[lef[u] = stack[top]] = u;
} else {
par[lef[u] = stack[top]] = u;
rig[par[u] = stack[top - 1]] = u;
}
stack[top] = u;
} else {
rig[par[u] = stack[top]] = u;
stack[++top] = u;
}
}
}
template <class T> void build(const T &as) {
build(as.size(), as.data());
}
};
int N, Q;
vector<int> O, L, R, X;
namespace brute {
vector<int> qs;
MinCartesianTree ct;
Mint dfs(int l, int r, int u) {
Mint ret = 0;
if (l < u && u < r && qs[u] < Q) {
ret += dfs(l, u, ct.lef[u]);
ret += dfs(u, r, ct.rig[u]);
ret /= 2;
} else {
ret = (r - l);
}
// cerr<<"dfs "<<l<<" "<<r<<" "<<u<<": "<<ret<<endl;
return ret;
}
Mint run() {
cerr<<"[brute::run]"<<endl;
Mint ans = 0;
for (int q = 0; q < Q; ++q) if (O[q] == 1) {
qs.assign(N + 2, Q);
for (int qq = q + 1; qq < Q; ++qq) if (O[qq] == 2) {
if (L[q] < X[qq] && X[qq] < R[q]) {
chmin(qs[X[qq]], qq);
}
}
// cerr<<L[q]<<" "<<R[q]<<" "<<qs<<endl;
ct.build(qs);
ans += dfs(L[q], R[q], ct.rt);
}
return ans;
}
} // brute
namespace sub3 {
Mint run() {
cerr<<"[sub3::run]"<<endl;
const Mint INV2 = Mint(2).inv();
vector<Mint> invTwo(N + 1, 1);
invTwo[0] = 1;
for (int i = 1; i <= N; ++i) invTwo[i] = invTwo[i - 1] * INV2;
vector<int> qs(N + 2, Q);
for (int q = 0; q < Q; ++q) if (O[q] == 2) {
chmin(qs[X[q]], q);
}
Mint ans = 0;
vector<int> ds(N + 2, 0);
vector<int> stack(N + 2);
for (int q = 0; q < Q; ++q) if (O[q] == 1) {
{
int top = 0;
stack[0] = -1;
ds[L[q]] = 0;
for (int x = L[q] + 1; x < R[q]; ++x) {
if (qs[x] < Q) {
for (; stack[top] >= qs[x]; --top) {}
stack[++top] = qs[x];
}
ds[x] = top;
}
}
{
int top = 0;
stack[0] = -1;
ds[R[q] - 1] += 0;
for (int x = R[q] - 1; x > L[q]; --x) {
if (qs[x] < Q) {
for (; stack[top] >= qs[x]; --top) {}
stack[++top] = qs[x];
}
ds[x - 1] += top;
}
}
for (int x = L[q]; x < R[q]; ++x) {
ans += invTwo[ds[x]];
}
}
return ans;
}
} // sub3
int main() {
for (; ~scanf("%d%d", &N, &Q); ) {
O.resize(Q);
L.assign(Q, 0);
R.assign(Q, 0);
X.assign(Q, 0);
for (int q = 0; q < Q; ++q) {
scanf("%d", &O[q]);
if (O[q] == 1) {
scanf("%d%d", &L[q], &R[q]);
} else {
scanf("%d", &X[q]);
}
}
bool spe3 = true;
for (int q = 0; q < Q; ++q) if (O[q] == 2) {
for (int qq = q; qq < Q; ++qq) spe3 = spe3 && (O[qq] == 2);
break;
}
Mint ans = 0;
if (spe3) {
ans = sub3::run();
} else if (N <= 5000 && Q <= 5000) {
ans = brute::run();
} else {
assert(false);
}
printf("%u\n", ans.x);
}
return 0;
}
詳細信息
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 1ms
memory: 3832kb
input:
500 500 1 119 258 2 134 2 417 2 176 2 61 2 60 2 110 1 335 336 1 96 111 2 202 1 138 344 2 358 2 134 1 29 54 1 73 381 1 179 495 2 490 2 418 2 186 2 183 1 168 340 2 78 1 15 27 2 373 1 245 498 1 372 495 2 244 2 63 1 174 490 2 282 2 417 1 272 408 1 109 134 2 303 2 345 1 238 401 1 36 480 1 21 483 2 10 1 3...
output:
855279801
result:
ok single line: '855279801'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
495 466 1 35 393 2 236 1 4 335 2 455 1 36 470 1 23 61 2 195 2 109 2 451 1 282 491 2 238 2 117 2 468 1 2 60 1 439 487 2 238 1 209 294 2 321 2 309 1 113 183 2 409 2 87 2 130 2 124 2 176 2 448 2 379 1 181 446 2 146 2 450 1 171 423 2 355 2 332 1 123 387 1 151 269 1 17 417 2 122 1 324 494 1 265 439 2 225...
output:
294468977
result:
ok single line: '294468977'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3756kb
input:
441 467 2 180 1 51 344 2 180 1 16 345 1 39 419 1 64 432 2 176 1 35 372 2 426 1 8 415 1 1 439 1 17 430 2 433 1 89 369 1 83 353 2 292 1 1 421 1 63 430 1 33 345 1 69 421 1 49 373 1 77 343 1 24 393 1 90 375 1 8 425 2 322 2 61 2 112 2 209 1 39 406 1 12 426 1 29 430 1 50 374 1 47 394 1 9 387 2 234 1 19 35...
output:
526117259
result:
ok single line: '526117259'
Test #4:
score: 0
Accepted
time: 1ms
memory: 4124kb
input:
500 500 2 442 1 12 414 1 40 435 2 138 1 79 448 1 16 464 2 163 1 94 492 2 97 2 335 1 7 452 1 25 474 1 78 442 2 286 1 93 430 1 78 438 2 469 2 354 2 270 2 292 2 108 2 301 1 100 480 2 258 1 17 487 2 2 2 409 2 385 2 338 1 83 454 1 41 490 1 95 475 1 43 442 1 66 445 2 406 2 168 1 10 406 2 330 2 20 1 90 491...
output:
810270061
result:
ok single line: '810270061'
Test #5:
score: 0
Accepted
time: 1ms
memory: 4104kb
input:
500 500 1 29 407 1 89 480 1 31 497 1 28 494 1 21 492 1 91 465 1 13 467 1 89 425 1 22 444 1 20 430 1 48 445 1 33 441 1 61 435 1 69 427 1 89 485 1 90 446 1 23 488 1 6 424 1 76 425 1 36 460 1 16 421 1 20 500 1 3 487 1 99 481 1 53 412 1 96 456 1 39 436 1 28 436 1 4 409 1 9 486 1 22 484 1 88 413 1 26 467...
output:
419428992
result:
ok single line: '419428992'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3880kb
input:
500 500 1 85 442 1 20 473 1 10 441 1 31 426 1 95 478 1 60 454 1 54 491 1 97 464 1 14 443 1 88 474 1 28 462 1 97 410 1 99 496 1 96 493 1 62 479 1 12 466 1 64 471 1 43 490 1 50 411 1 85 448 1 48 433 1 30 456 1 39 462 1 46 409 1 63 494 1 39 409 1 36 436 1 27 463 1 37 498 1 69 464 1 8 441 1 99 436 1 84 ...
output:
519347055
result:
ok single line: '519347055'
Subtask #2:
score: 20
Accepted
Dependency #1:
100%
Accepted
Test #7:
score: 20
Accepted
time: 85ms
memory: 3988kb
input:
5000 5000 2 2254 2 4832 2 208 1 335 3080 2 481 1 527 3659 1 2645 3803 1 855 3544 2 3824 2 347 1 1567 4426 1 2184 4493 2 142 2 2451 1 995 4170 2 576 2 999 2 2726 1 278 3540 2 3218 1 922 3302 2 3253 2 4161 2 4505 1 4201 4534 1 1827 3540 2 3241 2 1909 2 2667 1 723 2453 2 3123 1 1017 4791 1 2953 3384 1 ...
output:
275175220
result:
ok single line: '275175220'
Test #8:
score: 0
Accepted
time: 77ms
memory: 4028kb
input:
4753 4704 1 589 2183 1 922 2210 2 2885 2 171 2 1597 2 3601 1 1906 4730 1 411 3615 2 1665 1 87 801 2 3525 2 2426 2 2723 1 323 4345 2 3950 2 460 2 4165 1 1156 2642 1 1490 3965 1 329 4081 1 1206 2077 2 4216 1 996 2254 2 2219 2 1035 2 4074 2 714 1 952 2726 2 3097 2 409 1 3320 4713 2 4061 1 1765 2040 1 2...
output:
840227126
result:
ok single line: '840227126'
Test #9:
score: 0
Accepted
time: 72ms
memory: 4024kb
input:
4141 4610 2 3761 2 2872 1 334 3247 1 273 3914 1 307 3651 1 607 4105 1 458 3269 1 270 3782 2 311 1 533 3332 2 2495 1 991 3573 1 376 3593 1 239 3682 1 259 3350 1 213 3380 2 1904 1 591 3512 1 845 3785 1 189 3335 1 817 3362 1 335 3288 2 3633 1 747 3586 2 4062 2 3812 1 487 3333 1 740 4002 1 847 3937 1 53...
output:
597472157
result:
ok single line: '597472157'
Test #10:
score: 0
Accepted
time: 93ms
memory: 3920kb
input:
5000 5000 2 2864 1 473 4676 2 858 2 2672 2 4473 2 800 2 3259 2 470 2 3859 2 2228 1 491 4536 1 700 4378 2 498 1 769 4837 1 80 4861 1 109 4201 1 908 4094 1 9 4706 2 1017 2 737 2 4155 1 270 4290 2 4434 2 1867 1 148 4119 1 299 4194 2 4076 2 1863 2 1570 2 4855 1 1000 4834 1 637 4827 2 1961 2 4518 1 811 4...
output:
251906928
result:
ok single line: '251906928'
Test #11:
score: 0
Accepted
time: 53ms
memory: 3956kb
input:
5000 5000 1 327 4388 1 768 4973 1 438 4243 1 288 4244 1 105 4460 1 862 4894 1 125 4611 1 934 4115 1 631 4349 1 635 4088 1 250 4629 1 873 4204 1 977 4296 1 391 4821 1 107 4589 1 86 4810 1 615 4072 1 221 4113 1 745 4771 1 806 4983 1 675 4334 1 709 4428 1 587 4180 1 494 4949 1 904 4253 1 901 4527 1 717...
output:
845230417
result:
ok single line: '845230417'
Test #12:
score: 0
Accepted
time: 118ms
memory: 4264kb
input:
5000 5000 1 902 4097 1 263 4218 1 502 4305 1 798 4433 1 392 4689 1 479 4006 1 518 4269 1 764 4295 1 48 4834 1 966 4574 1 374 4970 1 950 4925 1 54 4860 1 987 4144 1 448 4504 1 329 4838 1 734 4807 1 403 4387 1 275 4396 1 731 4769 1 206 4348 1 282 4258 1 676 4956 1 274 4943 1 892 4146 1 337 4962 1 798 ...
output:
678724707
result:
ok single line: '678724707'
Subtask #3:
score: 0
Time Limit Exceeded
Test #13:
score: 40
Accepted
time: 6397ms
memory: 4792kb
input:
50000 50000 1 24367 33007 1 14396 42256 1 6375 22327 1 7892 42501 1 10100 37998 1 6284 48524 1 7357 18164 1 16200 46424 1 18972 34131 1 16849 32591 1 1917 3018 1 19897 30272 1 45044 45753 1 18999 25448 1 5167 31033 1 6182 35335 1 7270 37270 1 12651 39965 1 28896 38022 1 13853 35426 1 35516 48244 1 1...
output:
733099543
result:
ok single line: '733099543'
Test #14:
score: 0
Accepted
time: 5175ms
memory: 4972kb
input:
49951 43686 1 21796 23464 1 29304 46959 1 5034 41719 1 7779 35334 1 27566 36486 1 20347 26165 1 12508 30387 1 18363 20335 1 8540 21417 1 5728 49086 1 46038 47603 1 10371 15910 1 27293 43572 1 18915 45279 1 7388 48342 1 6802 43746 1 4361 40049 1 41177 43375 1 23287 48354 1 37097 41733 1 2406 11638 1 ...
output:
792296531
result:
ok single line: '792296531'
Test #15:
score: -40
Time Limit Exceeded
input:
49914 43874 1 8935 40963 1 4425 44317 1 1769 45855 1 2436 40257 1 1778 47216 1 383 42149 1 5398 40732 1 1079 43346 1 6578 41660 1 9689 45985 1 6131 42681 1 8862 47431 1 3979 46189 1 6456 43485 1 2028 46574 1 3802 47787 1 6990 41659 1 9221 41204 1 2271 43554 1 8018 45280 1 9344 43917 1 6623 41152 1 7...
output:
result:
Subtask #4:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
0%